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Finding the Fourth Proportional to 9,284.78, 13,930.36 and 2,711.93

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Solution

The fourth proportional to 9,284.78, 13,930.36 and 2,711.93 is: 4,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.78 : 13,930.36 = 2,711.93 : x
  2. Step 2: Convert to fraction form
    9,284.78/13,930.36 = 2,711.93/x
  3. Step 3: Cross multiply
    9,284.78x = 13,930.36 × 2,711.93
  4. Step 4: Simplify right side
    9,284.78x = 37,778,084.76
  5. Step 5: Solve for x
    x = 37,778,084.76/9,284.78
  6. Step 6: Final answer
    x = 4,068.82

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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.