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Finding the Fourth Proportional to 10,117.81, 15,101.79 and 9,494.51

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Solution

The fourth proportional to 10,117.81, 15,101.79 and 9,494.51 is: 14,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.81 : 15,101.79 = 9,494.51 : x
  2. Step 2: Convert to fraction form
    10,117.81/15,101.79 = 9,494.51/x
  3. Step 3: Cross multiply
    10,117.81x = 15,101.79 × 9,494.51
  4. Step 4: Simplify right side
    10,117.81x = 143,384,096.17
  5. Step 5: Solve for x
    x = 143,384,096.17/10,117.81
  6. Step 6: Final answer
    x = 14,171.46

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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.