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Finding the Fourth Proportional to 9,920.04, 14,882.80 and 4,377.82

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Solution

The fourth proportional to 9,920.04, 14,882.80 and 4,377.82 is: 6,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.04 : 14,882.80 = 4,377.82 : x
  2. Step 2: Convert to fraction form
    9,920.04/14,882.80 = 4,377.82/x
  3. Step 3: Cross multiply
    9,920.04x = 14,882.80 × 4,377.82
  4. Step 4: Simplify right side
    9,920.04x = 65,154,219.50
  5. Step 5: Solve for x
    x = 65,154,219.50/9,920.04
  6. Step 6: Final answer
    x = 6,567.94

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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.