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Finding the Fourth Proportional to 9,129.02, 12,591.78 and 5,594

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Solution

The fourth proportional to 9,129.02, 12,591.78 and 5,594 is: 7,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.02 : 12,591.78 = 5,594 : x
  2. Step 2: Convert to fraction form
    9,129.02/12,591.78 = 5,594/x
  3. Step 3: Cross multiply
    9,129.02x = 12,591.78 × 5,594
  4. Step 4: Simplify right side
    9,129.02x = 70,438,417.32
  5. Step 5: Solve for x
    x = 70,438,417.32/9,129.02
  6. Step 6: Final answer
    x = 7,715.88

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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.