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Finding the Fourth Proportional to 6,274.47, 9,413.28 and 4,429.18

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Solution

The fourth proportional to 6,274.47, 9,413.28 and 4,429.18 is: 6,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.47 : 9,413.28 = 4,429.18 : x
  2. Step 2: Convert to fraction form
    6,274.47/9,413.28 = 4,429.18/x
  3. Step 3: Cross multiply
    6,274.47x = 9,413.28 × 4,429.18
  4. Step 4: Simplify right side
    6,274.47x = 41,693,089.36
  5. Step 5: Solve for x
    x = 41,693,089.36/6,274.47
  6. Step 6: Final answer
    x = 6,644.88

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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.