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Finding the Fourth Proportional to 9,125.64, 13,714.08 and 5,428.52

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Solution

The fourth proportional to 9,125.64, 13,714.08 and 5,428.52 is: 8,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.64 : 13,714.08 = 5,428.52 : x
  2. Step 2: Convert to fraction form
    9,125.64/13,714.08 = 5,428.52/x
  3. Step 3: Cross multiply
    9,125.64x = 13,714.08 × 5,428.52
  4. Step 4: Simplify right side
    9,125.64x = 74,447,157.56
  5. Step 5: Solve for x
    x = 74,447,157.56/9,125.64
  6. Step 6: Final answer
    x = 8,158.02

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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.