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Finding the Fourth Proportional to 9,167.63, 12,651.12 and 5,188.10

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Solution

The fourth proportional to 9,167.63, 12,651.12 and 5,188.10 is: 7,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.63 : 12,651.12 = 5,188.10 : x
  2. Step 2: Convert to fraction form
    9,167.63/12,651.12 = 5,188.10/x
  3. Step 3: Cross multiply
    9,167.63x = 12,651.12 × 5,188.10
  4. Step 4: Simplify right side
    9,167.63x = 65,635,212.42
  5. Step 5: Solve for x
    x = 65,635,212.42/9,167.63
  6. Step 6: Final answer
    x = 7,159.46

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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.