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Finding the Fourth Proportional to 9,901.58, 14,851.94 and 3,658.91

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Solution

The fourth proportional to 9,901.58, 14,851.94 and 3,658.91 is: 5,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.58 : 14,851.94 = 3,658.91 : x
  2. Step 2: Convert to fraction form
    9,901.58/14,851.94 = 3,658.91/x
  3. Step 3: Cross multiply
    9,901.58x = 14,851.94 × 3,658.91
  4. Step 4: Simplify right side
    9,901.58x = 54,341,819.23
  5. Step 5: Solve for x
    x = 54,341,819.23/9,901.58
  6. Step 6: Final answer
    x = 5,488.20

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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.