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Finding the Fourth Proportional to 9,913.12, 13,679.77 and 5,436.76

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Solution

The fourth proportional to 9,913.12, 13,679.77 and 5,436.76 is: 7,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.12 : 13,679.77 = 5,436.76 : x
  2. Step 2: Convert to fraction form
    9,913.12/13,679.77 = 5,436.76/x
  3. Step 3: Cross multiply
    9,913.12x = 13,679.77 × 5,436.76
  4. Step 4: Simplify right side
    9,913.12x = 74,373,626.35
  5. Step 5: Solve for x
    x = 74,373,626.35/9,913.12
  6. Step 6: Final answer
    x = 7,502.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.