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Finding the Fourth Proportional to 8,847.72, 13,242.74 and 6,507.14

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Solution

The fourth proportional to 8,847.72, 13,242.74 and 6,507.14 is: 9,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.72 : 13,242.74 = 6,507.14 : x
  2. Step 2: Convert to fraction form
    8,847.72/13,242.74 = 6,507.14/x
  3. Step 3: Cross multiply
    8,847.72x = 13,242.74 × 6,507.14
  4. Step 4: Simplify right side
    8,847.72x = 86,172,264.41
  5. Step 5: Solve for x
    x = 86,172,264.41/8,847.72
  6. Step 6: Final answer
    x = 9,739.49

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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.