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Finding the Fourth Proportional to 9,952.02, 14,913.90 and 4,685.04

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Solution

The fourth proportional to 9,952.02, 14,913.90 and 4,685.04 is: 7,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.02 : 14,913.90 = 4,685.04 : x
  2. Step 2: Convert to fraction form
    9,952.02/14,913.90 = 4,685.04/x
  3. Step 3: Cross multiply
    9,952.02x = 14,913.90 × 4,685.04
  4. Step 4: Simplify right side
    9,952.02x = 69,872,218.06
  5. Step 5: Solve for x
    x = 69,872,218.06/9,952.02
  6. Step 6: Final answer
    x = 7,020.91

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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.