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Finding the Fourth Proportional to 9,952.91, 14,934.60 and 4,410.08

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Solution

The fourth proportional to 9,952.91, 14,934.60 and 4,410.08 is: 6,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.91 : 14,934.60 = 4,410.08 : x
  2. Step 2: Convert to fraction form
    9,952.91/14,934.60 = 4,410.08/x
  3. Step 3: Cross multiply
    9,952.91x = 14,934.60 × 4,410.08
  4. Step 4: Simplify right side
    9,952.91x = 65,862,706.10
  5. Step 5: Solve for x
    x = 65,862,706.10/9,952.91
  6. Step 6: Final answer
    x = 6,617.44

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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.