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Finding the Fourth Proportional to 9,962.65, 14,937.06 and 4,412.97

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Solution

The fourth proportional to 9,962.65, 14,937.06 and 4,412.97 is: 6,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.65 : 14,937.06 = 4,412.97 : x
  2. Step 2: Convert to fraction form
    9,962.65/14,937.06 = 4,412.97/x
  3. Step 3: Cross multiply
    9,962.65x = 14,937.06 × 4,412.97
  4. Step 4: Simplify right side
    9,962.65x = 65,916,775.60
  5. Step 5: Solve for x
    x = 65,916,775.60/9,962.65
  6. Step 6: Final answer
    x = 6,616.39

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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.