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Finding the Fourth Proportional to 9,403,874.63, 12,978,765.49 and 5,734,919.51

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Solution

The fourth proportional to 9,403,874.63, 12,978,765.49 and 5,734,919.51 is: 7,915,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403,874.63 : 12,978,765.49 = 5,734,919.51 : x
  2. Step 2: Convert to fraction form
    9,403,874.63/12,978,765.49 = 5,734,919.51/x
  3. Step 3: Cross multiply
    9,403,874.63x = 12,978,765.49 × 5,734,919.51
  4. Step 4: Simplify right side
    9,403,874.63x = 74,432,175,424,315.70
  5. Step 5: Solve for x
    x = 74,432,175,424,315.70/9,403,874.63
  6. Step 6: Final answer
    x = 7,915,053.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.