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Finding the Fourth Proportional to 9,737.79, 13,437.96 and 5,488.80

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Solution

The fourth proportional to 9,737.79, 13,437.96 and 5,488.80 is: 7,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.79 : 13,437.96 = 5,488.80 : x
  2. Step 2: Convert to fraction form
    9,737.79/13,437.96 = 5,488.80/x
  3. Step 3: Cross multiply
    9,737.79x = 13,437.96 × 5,488.80
  4. Step 4: Simplify right side
    9,737.79x = 73,758,274.85
  5. Step 5: Solve for x
    x = 73,758,274.85/9,737.79
  6. Step 6: Final answer
    x = 7,574.44

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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.