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Finding the Fourth Proportional to 9,636.32, 14,440.89 and 4,565.13

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Solution

The fourth proportional to 9,636.32, 14,440.89 and 4,565.13 is: 6,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.32 : 14,440.89 = 4,565.13 : x
  2. Step 2: Convert to fraction form
    9,636.32/14,440.89 = 4,565.13/x
  3. Step 3: Cross multiply
    9,636.32x = 14,440.89 × 4,565.13
  4. Step 4: Simplify right side
    9,636.32x = 65,924,540.17
  5. Step 5: Solve for x
    x = 65,924,540.17/9,636.32
  6. Step 6: Final answer
    x = 6,841.26

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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.