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Finding the Fourth Proportional to 9,248.14, 13,868.05 and 4,319.22

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Solution

The fourth proportional to 9,248.14, 13,868.05 and 4,319.22 is: 6,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.14 : 13,868.05 = 4,319.22 : x
  2. Step 2: Convert to fraction form
    9,248.14/13,868.05 = 4,319.22/x
  3. Step 3: Cross multiply
    9,248.14x = 13,868.05 × 4,319.22
  4. Step 4: Simplify right side
    9,248.14x = 59,899,158.92
  5. Step 5: Solve for x
    x = 59,899,158.92/9,248.14
  6. Step 6: Final answer
    x = 6,476.89

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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.