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Finding the Fourth Proportional to 9,658.88, 14,444.04 and 7,195.40

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Solution

The fourth proportional to 9,658.88, 14,444.04 and 7,195.40 is: 10,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.88 : 14,444.04 = 7,195.40 : x
  2. Step 2: Convert to fraction form
    9,658.88/14,444.04 = 7,195.40/x
  3. Step 3: Cross multiply
    9,658.88x = 14,444.04 × 7,195.40
  4. Step 4: Simplify right side
    9,658.88x = 103,930,645.42
  5. Step 5: Solve for x
    x = 103,930,645.42/9,658.88
  6. Step 6: Final answer
    x = 10,760.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.