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Finding the Fourth Proportional to 6,846.60, 9,445.78 and 5,058.39

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Solution

The fourth proportional to 6,846.60, 9,445.78 and 5,058.39 is: 6,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.60 : 9,445.78 = 5,058.39 : x
  2. Step 2: Convert to fraction form
    6,846.60/9,445.78 = 5,058.39/x
  3. Step 3: Cross multiply
    6,846.60x = 9,445.78 × 5,058.39
  4. Step 4: Simplify right side
    6,846.60x = 47,780,366.57
  5. Step 5: Solve for x
    x = 47,780,366.57/6,846.60
  6. Step 6: Final answer
    x = 6,978.70

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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.