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Finding the Fourth Proportional to 9,188.24, 12,679.74 and 4,996.49

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Solution

The fourth proportional to 9,188.24, 12,679.74 and 4,996.49 is: 6,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.24 : 12,679.74 = 4,996.49 : x
  2. Step 2: Convert to fraction form
    9,188.24/12,679.74 = 4,996.49/x
  3. Step 3: Cross multiply
    9,188.24x = 12,679.74 × 4,996.49
  4. Step 4: Simplify right side
    9,188.24x = 63,354,130.71
  5. Step 5: Solve for x
    x = 63,354,130.71/9,188.24
  6. Step 6: Final answer
    x = 6,895.14

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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.