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Finding the Fourth Proportional to 9,599.16, 14,397.92 and 3,024.38

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Solution

The fourth proportional to 9,599.16, 14,397.92 and 3,024.38 is: 4,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.16 : 14,397.92 = 3,024.38 : x
  2. Step 2: Convert to fraction form
    9,599.16/14,397.92 = 3,024.38/x
  3. Step 3: Cross multiply
    9,599.16x = 14,397.92 × 3,024.38
  4. Step 4: Simplify right side
    9,599.16x = 43,544,781.29
  5. Step 5: Solve for x
    x = 43,544,781.29/9,599.16
  6. Step 6: Final answer
    x = 4,536.31

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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.