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Finding the Fourth Proportional to 9,722.69, 13,413.32 and 7,210.98

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Solution

The fourth proportional to 9,722.69, 13,413.32 and 7,210.98 is: 9,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.69 : 13,413.32 = 7,210.98 : x
  2. Step 2: Convert to fraction form
    9,722.69/13,413.32 = 7,210.98/x
  3. Step 3: Cross multiply
    9,722.69x = 13,413.32 × 7,210.98
  4. Step 4: Simplify right side
    9,722.69x = 96,723,264.10
  5. Step 5: Solve for x
    x = 96,723,264.10/9,722.69
  6. Step 6: Final answer
    x = 9,948.20

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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.