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Finding the Fourth Proportional to 9,158.21, 12,638.33 and 4,966.46

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Solution

The fourth proportional to 9,158.21, 12,638.33 and 4,966.46 is: 6,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.21 : 12,638.33 = 4,966.46 : x
  2. Step 2: Convert to fraction form
    9,158.21/12,638.33 = 4,966.46/x
  3. Step 3: Cross multiply
    9,158.21x = 12,638.33 × 4,966.46
  4. Step 4: Simplify right side
    9,158.21x = 62,767,697.22
  5. Step 5: Solve for x
    x = 62,767,697.22/9,158.21
  6. Step 6: Final answer
    x = 6,853.71

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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.