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Finding the Fourth Proportional to 9,340.76, 14,002.70 and 3,413.46

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Solution

The fourth proportional to 9,340.76, 14,002.70 and 3,413.46 is: 5,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.76 : 14,002.70 = 3,413.46 : x
  2. Step 2: Convert to fraction form
    9,340.76/14,002.70 = 3,413.46/x
  3. Step 3: Cross multiply
    9,340.76x = 14,002.70 × 3,413.46
  4. Step 4: Simplify right side
    9,340.76x = 47,797,639.27
  5. Step 5: Solve for x
    x = 47,797,639.27/9,340.76
  6. Step 6: Final answer
    x = 5,117.11

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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.