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Finding the Fourth Proportional to 9,124.79, 12,592.31 and 5,348.07

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Solution

The fourth proportional to 9,124.79, 12,592.31 and 5,348.07 is: 7,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.79 : 12,592.31 = 5,348.07 : x
  2. Step 2: Convert to fraction form
    9,124.79/12,592.31 = 5,348.07/x
  3. Step 3: Cross multiply
    9,124.79x = 12,592.31 × 5,348.07
  4. Step 4: Simplify right side
    9,124.79x = 67,344,528.60
  5. Step 5: Solve for x
    x = 67,344,528.60/9,124.79
  6. Step 6: Final answer
    x = 7,380.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.