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Finding the Fourth Proportional to 9,510.11, 14,251.22 and 5,358.14

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Solution

The fourth proportional to 9,510.11, 14,251.22 and 5,358.14 is: 8,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.11 : 14,251.22 = 5,358.14 : x
  2. Step 2: Convert to fraction form
    9,510.11/14,251.22 = 5,358.14/x
  3. Step 3: Cross multiply
    9,510.11x = 14,251.22 × 5,358.14
  4. Step 4: Simplify right side
    9,510.11x = 76,360,005.14
  5. Step 5: Solve for x
    x = 76,360,005.14/9,510.11
  6. Step 6: Final answer
    x = 8,029.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.