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Finding the Fourth Proportional to 9,998.16, 13,794.12 and 6,465.84

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Solution

The fourth proportional to 9,998.16, 13,794.12 and 6,465.84 is: 8,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.16 : 13,794.12 = 6,465.84 : x
  2. Step 2: Convert to fraction form
    9,998.16/13,794.12 = 6,465.84/x
  3. Step 3: Cross multiply
    9,998.16x = 13,794.12 × 6,465.84
  4. Step 4: Simplify right side
    9,998.16x = 89,190,572.86
  5. Step 5: Solve for x
    x = 89,190,572.86/9,998.16
  6. Step 6: Final answer
    x = 8,920.70

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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.