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Finding the Fourth Proportional to 6,275.71, 9,413.26 and 2,577.02

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Solution

The fourth proportional to 6,275.71, 9,413.26 and 2,577.02 is: 3,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.71 : 9,413.26 = 2,577.02 : x
  2. Step 2: Convert to fraction form
    6,275.71/9,413.26 = 2,577.02/x
  3. Step 3: Cross multiply
    6,275.71x = 9,413.26 × 2,577.02
  4. Step 4: Simplify right side
    6,275.71x = 24,258,159.29
  5. Step 5: Solve for x
    x = 24,258,159.29/6,275.71
  6. Step 6: Final answer
    x = 3,865.40

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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.