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Finding the Fourth Proportional to 10,291.96, 14,188.02 and 6,749.02

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Solution

The fourth proportional to 10,291.96, 14,188.02 and 6,749.02 is: 9,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.96 : 14,188.02 = 6,749.02 : x
  2. Step 2: Convert to fraction form
    10,291.96/14,188.02 = 6,749.02/x
  3. Step 3: Cross multiply
    10,291.96x = 14,188.02 × 6,749.02
  4. Step 4: Simplify right side
    10,291.96x = 95,755,230.74
  5. Step 5: Solve for x
    x = 95,755,230.74/10,291.96
  6. Step 6: Final answer
    x = 9,303.89

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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.