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Finding the Fourth Proportional to 9,301.96, 12,818.91 and 9,131.14

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Solution

The fourth proportional to 9,301.96, 12,818.91 and 9,131.14 is: 12,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.96 : 12,818.91 = 9,131.14 : x
  2. Step 2: Convert to fraction form
    9,301.96/12,818.91 = 9,131.14/x
  3. Step 3: Cross multiply
    9,301.96x = 12,818.91 × 9,131.14
  4. Step 4: Simplify right side
    9,301.96x = 117,051,261.86
  5. Step 5: Solve for x
    x = 117,051,261.86/9,301.96
  6. Step 6: Final answer
    x = 12,583.51

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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.