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Finding the Fourth Proportional to 9,413.52, 14,122.59 and 6,645.60

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Solution

The fourth proportional to 9,413.52, 14,122.59 and 6,645.60 is: 9,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.52 : 14,122.59 = 6,645.60 : x
  2. Step 2: Convert to fraction form
    9,413.52/14,122.59 = 6,645.60/x
  3. Step 3: Cross multiply
    9,413.52x = 14,122.59 × 6,645.60
  4. Step 4: Simplify right side
    9,413.52x = 93,853,084.10
  5. Step 5: Solve for x
    x = 93,853,084.10/9,413.52
  6. Step 6: Final answer
    x = 9,970.03

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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.