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Finding the Fourth Proportional to 9,972.02, 14,957.76 and 2,576.46

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Solution

The fourth proportional to 9,972.02, 14,957.76 and 2,576.46 is: 3,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.02 : 14,957.76 = 2,576.46 : x
  2. Step 2: Convert to fraction form
    9,972.02/14,957.76 = 2,576.46/x
  3. Step 3: Cross multiply
    9,972.02x = 14,957.76 × 2,576.46
  4. Step 4: Simplify right side
    9,972.02x = 38,538,070.33
  5. Step 5: Solve for x
    x = 38,538,070.33/9,972.02
  6. Step 6: Final answer
    x = 3,864.62

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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.