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Finding the Fourth Proportional to 8,967.56, 13,471.98 and 5,646.14

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Solution

The fourth proportional to 8,967.56, 13,471.98 and 5,646.14 is: 8,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.56 : 13,471.98 = 5,646.14 : x
  2. Step 2: Convert to fraction form
    8,967.56/13,471.98 = 5,646.14/x
  3. Step 3: Cross multiply
    8,967.56x = 13,471.98 × 5,646.14
  4. Step 4: Simplify right side
    8,967.56x = 76,064,685.16
  5. Step 5: Solve for x
    x = 76,064,685.16/8,967.56
  6. Step 6: Final answer
    x = 8,482.21

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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.