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Finding the Fourth Proportional to 9,637.89, 14,456.88 and 2,974.32

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Solution

The fourth proportional to 9,637.89, 14,456.88 and 2,974.32 is: 4,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.89 : 14,456.88 = 2,974.32 : x
  2. Step 2: Convert to fraction form
    9,637.89/14,456.88 = 2,974.32/x
  3. Step 3: Cross multiply
    9,637.89x = 14,456.88 × 2,974.32
  4. Step 4: Simplify right side
    9,637.89x = 42,999,387.32
  5. Step 5: Solve for x
    x = 42,999,387.32/9,637.89
  6. Step 6: Final answer
    x = 4,461.49

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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.