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Finding the Fourth Proportional to 9,390.48, 12,960.45 and 5,413.92

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Solution

The fourth proportional to 9,390.48, 12,960.45 and 5,413.92 is: 7,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.48 : 12,960.45 = 5,413.92 : x
  2. Step 2: Convert to fraction form
    9,390.48/12,960.45 = 5,413.92/x
  3. Step 3: Cross multiply
    9,390.48x = 12,960.45 × 5,413.92
  4. Step 4: Simplify right side
    9,390.48x = 70,166,839.46
  5. Step 5: Solve for x
    x = 70,166,839.46/9,390.48
  6. Step 6: Final answer
    x = 7,472.12

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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.