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Finding the Fourth Proportional to 10,295.32, 15,413.55 and 9,641.40

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Solution

The fourth proportional to 10,295.32, 15,413.55 and 9,641.40 is: 14,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.32 : 15,413.55 = 9,641.40 : x
  2. Step 2: Convert to fraction form
    10,295.32/15,413.55 = 9,641.40/x
  3. Step 3: Cross multiply
    10,295.32x = 15,413.55 × 9,641.40
  4. Step 4: Simplify right side
    10,295.32x = 148,608,200.97
  5. Step 5: Solve for x
    x = 148,608,200.97/10,295.32
  6. Step 6: Final answer
    x = 14,434.54

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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.