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Finding the Fourth Proportional to 10,066.60, 13,882.02 and 9,271.96

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Solution

The fourth proportional to 10,066.60, 13,882.02 and 9,271.96 is: 12,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.60 : 13,882.02 = 9,271.96 : x
  2. Step 2: Convert to fraction form
    10,066.60/13,882.02 = 9,271.96/x
  3. Step 3: Cross multiply
    10,066.60x = 13,882.02 × 9,271.96
  4. Step 4: Simplify right side
    10,066.60x = 128,713,534.16
  5. Step 5: Solve for x
    x = 128,713,534.16/10,066.60
  6. Step 6: Final answer
    x = 12,786.20

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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.