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Finding the Fourth Proportional to 10,119.66, 13,864.02 and 9,740.96

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Solution

The fourth proportional to 10,119.66, 13,864.02 and 9,740.96 is: 13,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.66 : 13,864.02 = 9,740.96 : x
  2. Step 2: Convert to fraction form
    10,119.66/13,864.02 = 9,740.96/x
  3. Step 3: Cross multiply
    10,119.66x = 13,864.02 × 9,740.96
  4. Step 4: Simplify right side
    10,119.66x = 135,048,878.89
  5. Step 5: Solve for x
    x = 135,048,878.89/10,119.66
  6. Step 6: Final answer
    x = 13,345.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.