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Finding the Fourth Proportional to 9,973.76, 14,957.28 and 3,049.28

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Solution

The fourth proportional to 9,973.76, 14,957.28 and 3,049.28 is: 4,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.76 : 14,957.28 = 3,049.28 : x
  2. Step 2: Convert to fraction form
    9,973.76/14,957.28 = 3,049.28/x
  3. Step 3: Cross multiply
    9,973.76x = 14,957.28 × 3,049.28
  4. Step 4: Simplify right side
    9,973.76x = 45,608,934.76
  5. Step 5: Solve for x
    x = 45,608,934.76/9,973.76
  6. Step 6: Final answer
    x = 4,572.89

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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.