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Finding the Fourth Proportional to 9,763.63, 14,645.30 and 2,368.16

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Solution

The fourth proportional to 9,763.63, 14,645.30 and 2,368.16 is: 3,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.63 : 14,645.30 = 2,368.16 : x
  2. Step 2: Convert to fraction form
    9,763.63/14,645.30 = 2,368.16/x
  3. Step 3: Cross multiply
    9,763.63x = 14,645.30 × 2,368.16
  4. Step 4: Simplify right side
    9,763.63x = 34,682,340.42
  5. Step 5: Solve for x
    x = 34,682,340.42/9,763.63
  6. Step 6: Final answer
    x = 3,552.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.