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Finding the Fourth Proportional to 9,986.92, 14,913.48 and 9,298.01

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Solution

The fourth proportional to 9,986.92, 14,913.48 and 9,298.01 is: 13,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.92 : 14,913.48 = 9,298.01 : x
  2. Step 2: Convert to fraction form
    9,986.92/14,913.48 = 9,298.01/x
  3. Step 3: Cross multiply
    9,986.92x = 14,913.48 × 9,298.01
  4. Step 4: Simplify right side
    9,986.92x = 138,665,686.17
  5. Step 5: Solve for x
    x = 138,665,686.17/9,986.92
  6. Step 6: Final answer
    x = 13,884.73

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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.