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Finding the Fourth Proportional to 9,834.88, 14,758.80 and 5,221.12

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Solution

The fourth proportional to 9,834.88, 14,758.80 and 5,221.12 is: 7,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.88 : 14,758.80 = 5,221.12 : x
  2. Step 2: Convert to fraction form
    9,834.88/14,758.80 = 5,221.12/x
  3. Step 3: Cross multiply
    9,834.88x = 14,758.80 × 5,221.12
  4. Step 4: Simplify right side
    9,834.88x = 77,057,465.86
  5. Step 5: Solve for x
    x = 77,057,465.86/9,834.88
  6. Step 6: Final answer
    x = 7,835.12

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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.