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Finding the Fourth Proportional to 9,591.74, 14,363.58 and 6,071.13

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Solution

The fourth proportional to 9,591.74, 14,363.58 and 6,071.13 is: 9,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.74 : 14,363.58 = 6,071.13 : x
  2. Step 2: Convert to fraction form
    9,591.74/14,363.58 = 6,071.13/x
  3. Step 3: Cross multiply
    9,591.74x = 14,363.58 × 6,071.13
  4. Step 4: Simplify right side
    9,591.74x = 87,203,109.66
  5. Step 5: Solve for x
    x = 87,203,109.66/9,591.74
  6. Step 6: Final answer
    x = 9,091.48

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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.