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Finding the Fourth Proportional to 9,059.52, 13,601.76 and 4,680

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Solution

The fourth proportional to 9,059.52, 13,601.76 and 4,680 is: 7,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.52 : 13,601.76 = 4,680 : x
  2. Step 2: Convert to fraction form
    9,059.52/13,601.76 = 4,680/x
  3. Step 3: Cross multiply
    9,059.52x = 13,601.76 × 4,680
  4. Step 4: Simplify right side
    9,059.52x = 63,656,236.80
  5. Step 5: Solve for x
    x = 63,656,236.80/9,059.52
  6. Step 6: Final answer
    x = 7,026.45

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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.