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Finding the Fourth Proportional to 9,488.66, 14,234.82 and 2,913.68

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Solution

The fourth proportional to 9,488.66, 14,234.82 and 2,913.68 is: 4,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.66 : 14,234.82 = 2,913.68 : x
  2. Step 2: Convert to fraction form
    9,488.66/14,234.82 = 2,913.68/x
  3. Step 3: Cross multiply
    9,488.66x = 14,234.82 × 2,913.68
  4. Step 4: Simplify right side
    9,488.66x = 41,475,710.34
  5. Step 5: Solve for x
    x = 41,475,710.34/9,488.66
  6. Step 6: Final answer
    x = 4,371.08

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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.