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Finding the Fourth Proportional to 9,102.96, 12,563.10 and 5,125.05

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Solution

The fourth proportional to 9,102.96, 12,563.10 and 5,125.05 is: 7,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 12,563.10 = 5,125.05 : x
  2. Step 2: Convert to fraction form
    9,102.96/12,563.10 = 5,125.05/x
  3. Step 3: Cross multiply
    9,102.96x = 12,563.10 × 5,125.05
  4. Step 4: Simplify right side
    9,102.96x = 64,386,515.66
  5. Step 5: Solve for x
    x = 64,386,515.66/9,102.96
  6. Step 6: Final answer
    x = 7,073.14

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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.