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Finding the Fourth Proportional to 9,670.71, 13,345.61 and 5,478.96

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Solution

The fourth proportional to 9,670.71, 13,345.61 and 5,478.96 is: 7,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.71 : 13,345.61 = 5,478.96 : x
  2. Step 2: Convert to fraction form
    9,670.71/13,345.61 = 5,478.96/x
  3. Step 3: Cross multiply
    9,670.71x = 13,345.61 × 5,478.96
  4. Step 4: Simplify right side
    9,670.71x = 73,120,035.97
  5. Step 5: Solve for x
    x = 73,120,035.97/9,670.71
  6. Step 6: Final answer
    x = 7,560.98

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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.