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Finding the Fourth Proportional to 9,670.39, 13,344.73 and 5,478.64

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Solution

The fourth proportional to 9,670.39, 13,344.73 and 5,478.64 is: 7,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.39 : 13,344.73 = 5,478.64 : x
  2. Step 2: Convert to fraction form
    9,670.39/13,344.73 = 5,478.64/x
  3. Step 3: Cross multiply
    9,670.39x = 13,344.73 × 5,478.64
  4. Step 4: Simplify right side
    9,670.39x = 73,110,971.57
  5. Step 5: Solve for x
    x = 73,110,971.57/9,670.39
  6. Step 6: Final answer
    x = 7,560.29

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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.