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Finding the Fourth Proportional to 6,148.20, 9,174.93 and 4,909.80

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Solution

The fourth proportional to 6,148.20, 9,174.93 and 4,909.80 is: 7,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.20 : 9,174.93 = 4,909.80 : x
  2. Step 2: Convert to fraction form
    6,148.20/9,174.93 = 4,909.80/x
  3. Step 3: Cross multiply
    6,148.20x = 9,174.93 × 4,909.80
  4. Step 4: Simplify right side
    6,148.20x = 45,047,071.31
  5. Step 5: Solve for x
    x = 45,047,071.31/6,148.20
  6. Step 6: Final answer
    x = 7,326.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.