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Finding the Fourth Proportional to 9,681.12, 14,497.92 and 5,773.44

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Solution

The fourth proportional to 9,681.12, 14,497.92 and 5,773.44 is: 8,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.12 : 14,497.92 = 5,773.44 : x
  2. Step 2: Convert to fraction form
    9,681.12/14,497.92 = 5,773.44/x
  3. Step 3: Cross multiply
    9,681.12x = 14,497.92 × 5,773.44
  4. Step 4: Simplify right side
    9,681.12x = 83,702,871.24
  5. Step 5: Solve for x
    x = 83,702,871.24/9,681.12
  6. Step 6: Final answer
    x = 8,645.99

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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.