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Finding the Fourth Proportional to 10,162.27, 15,225.94 and 9,135.10

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Solution

The fourth proportional to 10,162.27, 15,225.94 and 9,135.10 is: 13,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.27 : 15,225.94 = 9,135.10 : x
  2. Step 2: Convert to fraction form
    10,162.27/15,225.94 = 9,135.10/x
  3. Step 3: Cross multiply
    10,162.27x = 15,225.94 × 9,135.10
  4. Step 4: Simplify right side
    10,162.27x = 139,090,484.49
  5. Step 5: Solve for x
    x = 139,090,484.49/10,162.27
  6. Step 6: Final answer
    x = 13,686.95

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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.