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Finding the Fourth Proportional to 7,438.80, 11,147.40 and 6,337.20

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Solution

The fourth proportional to 7,438.80, 11,147.40 and 6,337.20 is: 9,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.80 : 11,147.40 = 6,337.20 : x
  2. Step 2: Convert to fraction form
    7,438.80/11,147.40 = 6,337.20/x
  3. Step 3: Cross multiply
    7,438.80x = 11,147.40 × 6,337.20
  4. Step 4: Simplify right side
    7,438.80x = 70,643,303.28
  5. Step 5: Solve for x
    x = 70,643,303.28/7,438.80
  6. Step 6: Final answer
    x = 9,496.60

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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.