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Finding the Fourth Proportional to 9,104.91, 12,564.57 and 5,125.98

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Solution

The fourth proportional to 9,104.91, 12,564.57 and 5,125.98 is: 7,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.91 : 12,564.57 = 5,125.98 : x
  2. Step 2: Convert to fraction form
    9,104.91/12,564.57 = 5,125.98/x
  3. Step 3: Cross multiply
    9,104.91x = 12,564.57 × 5,125.98
  4. Step 4: Simplify right side
    9,104.91x = 64,405,734.53
  5. Step 5: Solve for x
    x = 64,405,734.53/9,104.91
  6. Step 6: Final answer
    x = 7,073.74

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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.