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Finding the Fourth Proportional to 9,397.45, 12,968.48 and 5,148.78

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Solution

The fourth proportional to 9,397.45, 12,968.48 and 5,148.78 is: 7,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.45 : 12,968.48 = 5,148.78 : x
  2. Step 2: Convert to fraction form
    9,397.45/12,968.48 = 5,148.78/x
  3. Step 3: Cross multiply
    9,397.45x = 12,968.48 × 5,148.78
  4. Step 4: Simplify right side
    9,397.45x = 66,771,824.71
  5. Step 5: Solve for x
    x = 66,771,824.71/9,397.45
  6. Step 6: Final answer
    x = 7,105.32

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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.