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Finding the Fourth Proportional to 9,674.80, 13,352.71 and 5,427.58

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Solution

The fourth proportional to 9,674.80, 13,352.71 and 5,427.58 is: 7,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.80 : 13,352.71 = 5,427.58 : x
  2. Step 2: Convert to fraction form
    9,674.80/13,352.71 = 5,427.58/x
  3. Step 3: Cross multiply
    9,674.80x = 13,352.71 × 5,427.58
  4. Step 4: Simplify right side
    9,674.80x = 72,472,901.74
  5. Step 5: Solve for x
    x = 72,472,901.74/9,674.80
  6. Step 6: Final answer
    x = 7,490.89

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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.