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Finding the Fourth Proportional to 9,957.48, 14,939.46 and 4,763.76

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Solution

The fourth proportional to 9,957.48, 14,939.46 and 4,763.76 is: 7,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.48 : 14,939.46 = 4,763.76 : x
  2. Step 2: Convert to fraction form
    9,957.48/14,939.46 = 4,763.76/x
  3. Step 3: Cross multiply
    9,957.48x = 14,939.46 × 4,763.76
  4. Step 4: Simplify right side
    9,957.48x = 71,168,001.97
  5. Step 5: Solve for x
    x = 71,168,001.97/9,957.48
  6. Step 6: Final answer
    x = 7,147.19

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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.