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Finding the Fourth Proportional to 9,720, 13,413.06 and 5,471.76

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Solution

The fourth proportional to 9,720, 13,413.06 and 5,471.76 is: 7,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 13,413.06 = 5,471.76 : x
  2. Step 2: Convert to fraction form
    9,720/13,413.06 = 5,471.76/x
  3. Step 3: Cross multiply
    9,720x = 13,413.06 × 5,471.76
  4. Step 4: Simplify right side
    9,720x = 73,393,045.19
  5. Step 5: Solve for x
    x = 73,393,045.19/9,720
  6. Step 6: Final answer
    x = 7,550.72

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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.