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Finding the Fourth Proportional to 9,126, 12,594.32 and 5,147.03

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Solution

The fourth proportional to 9,126, 12,594.32 and 5,147.03 is: 7,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 12,594.32 = 5,147.03 : x
  2. Step 2: Convert to fraction form
    9,126/12,594.32 = 5,147.03/x
  3. Step 3: Cross multiply
    9,126x = 12,594.32 × 5,147.03
  4. Step 4: Simplify right side
    9,126x = 64,823,320.69
  5. Step 5: Solve for x
    x = 64,823,320.69/9,126
  6. Step 6: Final answer
    x = 7,103.15

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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.