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Finding the Fourth Proportional to 9,973.76, 14,957.12 and 2,951.90

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Solution

The fourth proportional to 9,973.76, 14,957.12 and 2,951.90 is: 4,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.76 : 14,957.12 = 2,951.90 : x
  2. Step 2: Convert to fraction form
    9,973.76/14,957.12 = 2,951.90/x
  3. Step 3: Cross multiply
    9,973.76x = 14,957.12 × 2,951.90
  4. Step 4: Simplify right side
    9,973.76x = 44,151,922.53
  5. Step 5: Solve for x
    x = 44,151,922.53/9,973.76
  6. Step 6: Final answer
    x = 4,426.81

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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.