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Finding the Fourth Proportional to 9,750.55, 14,633.12 and 6,058.17

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Solution

The fourth proportional to 9,750.55, 14,633.12 and 6,058.17 is: 9,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.55 : 14,633.12 = 6,058.17 : x
  2. Step 2: Convert to fraction form
    9,750.55/14,633.12 = 6,058.17/x
  3. Step 3: Cross multiply
    9,750.55x = 14,633.12 × 6,058.17
  4. Step 4: Simplify right side
    9,750.55x = 88,649,928.59
  5. Step 5: Solve for x
    x = 88,649,928.59/9,750.55
  6. Step 6: Final answer
    x = 9,091.79

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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.