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Finding the Fourth Proportional to 9,112.05, 13,661.07 and 4,178.13

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Solution

The fourth proportional to 9,112.05, 13,661.07 and 4,178.13 is: 6,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.05 : 13,661.07 = 4,178.13 : x
  2. Step 2: Convert to fraction form
    9,112.05/13,661.07 = 4,178.13/x
  3. Step 3: Cross multiply
    9,112.05x = 13,661.07 × 4,178.13
  4. Step 4: Simplify right side
    9,112.05x = 57,077,726.40
  5. Step 5: Solve for x
    x = 57,077,726.40/9,112.05
  6. Step 6: Final answer
    x = 6,263.98

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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.