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Finding the Fourth Proportional to 9,957.39, 14,931.62 and 5,029.89

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Solution

The fourth proportional to 9,957.39, 14,931.62 and 5,029.89 is: 7,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.39 : 14,931.62 = 5,029.89 : x
  2. Step 2: Convert to fraction form
    9,957.39/14,931.62 = 5,029.89/x
  3. Step 3: Cross multiply
    9,957.39x = 14,931.62 × 5,029.89
  4. Step 4: Simplify right side
    9,957.39x = 75,104,406.12
  5. Step 5: Solve for x
    x = 75,104,406.12/9,957.39
  6. Step 6: Final answer
    x = 7,542.58

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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.