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Finding the Fourth Proportional to 9,130.38, 12,599.94 and 4,938.63

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Solution

The fourth proportional to 9,130.38, 12,599.94 and 4,938.63 is: 6,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.38 : 12,599.94 = 4,938.63 : x
  2. Step 2: Convert to fraction form
    9,130.38/12,599.94 = 4,938.63/x
  3. Step 3: Cross multiply
    9,130.38x = 12,599.94 × 4,938.63
  4. Step 4: Simplify right side
    9,130.38x = 62,226,441.68
  5. Step 5: Solve for x
    x = 62,226,441.68/9,130.38
  6. Step 6: Final answer
    x = 6,815.32

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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.