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Finding the Fourth Proportional to 8,971.54, 12,378.43 and 5,434.07

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Solution

The fourth proportional to 8,971.54, 12,378.43 and 5,434.07 is: 7,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.54 : 12,378.43 = 5,434.07 : x
  2. Step 2: Convert to fraction form
    8,971.54/12,378.43 = 5,434.07/x
  3. Step 3: Cross multiply
    8,971.54x = 12,378.43 × 5,434.07
  4. Step 4: Simplify right side
    8,971.54x = 67,265,255.11
  5. Step 5: Solve for x
    x = 67,265,255.11/8,971.54
  6. Step 6: Final answer
    x = 7,497.63

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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.