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Finding the Fourth Proportional to 9,089.31, 12,543.12 and 5,056.10

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Solution

The fourth proportional to 9,089.31, 12,543.12 and 5,056.10 is: 6,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.31 : 12,543.12 = 5,056.10 : x
  2. Step 2: Convert to fraction form
    9,089.31/12,543.12 = 5,056.10/x
  3. Step 3: Cross multiply
    9,089.31x = 12,543.12 × 5,056.10
  4. Step 4: Simplify right side
    9,089.31x = 63,419,269.03
  5. Step 5: Solve for x
    x = 63,419,269.03/9,089.31
  6. Step 6: Final answer
    x = 6,977.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.