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Finding the Fourth Proportional to 9,750.72, 14,613.84 and 5,594.16

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Solution

The fourth proportional to 9,750.72, 14,613.84 and 5,594.16 is: 8,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.72 : 14,613.84 = 5,594.16 : x
  2. Step 2: Convert to fraction form
    9,750.72/14,613.84 = 5,594.16/x
  3. Step 3: Cross multiply
    9,750.72x = 14,613.84 × 5,594.16
  4. Step 4: Simplify right side
    9,750.72x = 81,752,159.17
  5. Step 5: Solve for x
    x = 81,752,159.17/9,750.72
  6. Step 6: Final answer
    x = 8,384.22

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