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Finding the Fourth Proportional to 9,158.25, 12,638.32 and 4,966.50

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Solution

The fourth proportional to 9,158.25, 12,638.32 and 4,966.50 is: 6,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.25 : 12,638.32 = 4,966.50 : x
  2. Step 2: Convert to fraction form
    9,158.25/12,638.32 = 4,966.50/x
  3. Step 3: Cross multiply
    9,158.25x = 12,638.32 × 4,966.50
  4. Step 4: Simplify right side
    9,158.25x = 62,768,216.28
  5. Step 5: Solve for x
    x = 62,768,216.28/9,158.25
  6. Step 6: Final answer
    x = 6,853.73

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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.