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Finding the Fourth Proportional to 9,384.34, 12,947.85 and 5,605.83

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Solution

The fourth proportional to 9,384.34, 12,947.85 and 5,605.83 is: 7,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.34 : 12,947.85 = 5,605.83 : x
  2. Step 2: Convert to fraction form
    9,384.34/12,947.85 = 5,605.83/x
  3. Step 3: Cross multiply
    9,384.34x = 12,947.85 × 5,605.83
  4. Step 4: Simplify right side
    9,384.34x = 72,583,445.97
  5. Step 5: Solve for x
    x = 72,583,445.97/9,384.34
  6. Step 6: Final answer
    x = 7,734.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.