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Finding the Fourth Proportional to 9,399.63, 14,092.53 and 5,701.17

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Solution

The fourth proportional to 9,399.63, 14,092.53 and 5,701.17 is: 8,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.63 : 14,092.53 = 5,701.17 : x
  2. Step 2: Convert to fraction form
    9,399.63/14,092.53 = 5,701.17/x
  3. Step 3: Cross multiply
    9,399.63x = 14,092.53 × 5,701.17
  4. Step 4: Simplify right side
    9,399.63x = 80,343,909.26
  5. Step 5: Solve for x
    x = 80,343,909.26/9,399.63
  6. Step 6: Final answer
    x = 8,547.56

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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.