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Finding the Fourth Proportional to 9,815.38, 14,728.02 and 4,884.82

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Solution

The fourth proportional to 9,815.38, 14,728.02 and 4,884.82 is: 7,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.38 : 14,728.02 = 4,884.82 : x
  2. Step 2: Convert to fraction form
    9,815.38/14,728.02 = 4,884.82/x
  3. Step 3: Cross multiply
    9,815.38x = 14,728.02 × 4,884.82
  4. Step 4: Simplify right side
    9,815.38x = 71,943,726.66
  5. Step 5: Solve for x
    x = 71,943,726.66/9,815.38
  6. Step 6: Final answer
    x = 7,329.69

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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.