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Finding the Fourth Proportional to 9,732.40, 14,584.91 and 5,566.16

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Solution

The fourth proportional to 9,732.40, 14,584.91 and 5,566.16 is: 8,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.40 : 14,584.91 = 5,566.16 : x
  2. Step 2: Convert to fraction form
    9,732.40/14,584.91 = 5,566.16/x
  3. Step 3: Cross multiply
    9,732.40x = 14,584.91 × 5,566.16
  4. Step 4: Simplify right side
    9,732.40x = 81,181,914.81
  5. Step 5: Solve for x
    x = 81,181,914.81/9,732.40
  6. Step 6: Final answer
    x = 8,341.41

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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.