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Finding the Fourth Proportional to 9,670.56, 13,349.04 and 5,691.84

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Solution

The fourth proportional to 9,670.56, 13,349.04 and 5,691.84 is: 7,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.56 : 13,349.04 = 5,691.84 : x
  2. Step 2: Convert to fraction form
    9,670.56/13,349.04 = 5,691.84/x
  3. Step 3: Cross multiply
    9,670.56x = 13,349.04 × 5,691.84
  4. Step 4: Simplify right side
    9,670.56x = 75,980,599.83
  5. Step 5: Solve for x
    x = 75,980,599.83/9,670.56
  6. Step 6: Final answer
    x = 7,856.90

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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.