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Finding the Fourth Proportional to 9,248.81, 13,836.36 and 8,030.57

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Solution

The fourth proportional to 9,248.81, 13,836.36 and 8,030.57 is: 12,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.81 : 13,836.36 = 8,030.57 : x
  2. Step 2: Convert to fraction form
    9,248.81/13,836.36 = 8,030.57/x
  3. Step 3: Cross multiply
    9,248.81x = 13,836.36 × 8,030.57
  4. Step 4: Simplify right side
    9,248.81x = 111,113,857.53
  5. Step 5: Solve for x
    x = 111,113,857.53/9,248.81
  6. Step 6: Final answer
    x = 12,013.85

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Why These Related Problems?

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