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Finding the Fourth Proportional to 6,569.64, 9,055.23 and 4,652.97

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Solution

The fourth proportional to 6,569.64, 9,055.23 and 4,652.97 is: 6,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,055.23 = 4,652.97 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,055.23 = 4,652.97/x
  3. Step 3: Cross multiply
    6,569.64x = 9,055.23 × 4,652.97
  4. Step 4: Simplify right side
    6,569.64x = 42,133,713.53
  5. Step 5: Solve for x
    x = 42,133,713.53/6,569.64
  6. Step 6: Final answer
    x = 6,413.40

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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.