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Finding the Fourth Proportional to 9,465.18, 14,086.04 and 9,149.84

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Solution

The fourth proportional to 9,465.18, 14,086.04 and 9,149.84 is: 13,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.18 : 14,086.04 = 9,149.84 : x
  2. Step 2: Convert to fraction form
    9,465.18/14,086.04 = 9,149.84/x
  3. Step 3: Cross multiply
    9,465.18x = 14,086.04 × 9,149.84
  4. Step 4: Simplify right side
    9,465.18x = 128,884,896.05
  5. Step 5: Solve for x
    x = 128,884,896.05/9,465.18
  6. Step 6: Final answer
    x = 13,616.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.