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Finding the Fourth Proportional to 9,612.52, 14,419.22 and 2,948.53

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Solution

The fourth proportional to 9,612.52, 14,419.22 and 2,948.53 is: 4,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.52 : 14,419.22 = 2,948.53 : x
  2. Step 2: Convert to fraction form
    9,612.52/14,419.22 = 2,948.53/x
  3. Step 3: Cross multiply
    9,612.52x = 14,419.22 × 2,948.53
  4. Step 4: Simplify right side
    9,612.52x = 42,515,502.75
  5. Step 5: Solve for x
    x = 42,515,502.75/9,612.52
  6. Step 6: Final answer
    x = 4,422.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.