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Finding the Fourth Proportional to 9,597.69, 14,397.92 and 3,024.41

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Solution

The fourth proportional to 9,597.69, 14,397.92 and 3,024.41 is: 4,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.69 : 14,397.92 = 3,024.41 : x
  2. Step 2: Convert to fraction form
    9,597.69/14,397.92 = 3,024.41/x
  3. Step 3: Cross multiply
    9,597.69x = 14,397.92 × 3,024.41
  4. Step 4: Simplify right side
    9,597.69x = 43,545,213.23
  5. Step 5: Solve for x
    x = 43,545,213.23/9,597.69
  6. Step 6: Final answer
    x = 4,537.05

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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.