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Finding the Fourth Proportional to 9,952.16, 13,742.34 and 6,817.46

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Solution

The fourth proportional to 9,952.16, 13,742.34 and 6,817.46 is: 9,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.16 : 13,742.34 = 6,817.46 : x
  2. Step 2: Convert to fraction form
    9,952.16/13,742.34 = 6,817.46/x
  3. Step 3: Cross multiply
    9,952.16x = 13,742.34 × 6,817.46
  4. Step 4: Simplify right side
    9,952.16x = 93,687,853.26
  5. Step 5: Solve for x
    x = 93,687,853.26/9,952.16
  6. Step 6: Final answer
    x = 9,413.82

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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.