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Finding the Fourth Proportional to 9,291.11, 12,817.64 and 5,753.63

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Solution

The fourth proportional to 9,291.11, 12,817.64 and 5,753.63 is: 7,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.11 : 12,817.64 = 5,753.63 : x
  2. Step 2: Convert to fraction form
    9,291.11/12,817.64 = 5,753.63/x
  3. Step 3: Cross multiply
    9,291.11x = 12,817.64 × 5,753.63
  4. Step 4: Simplify right side
    9,291.11x = 73,748,004.46
  5. Step 5: Solve for x
    x = 73,748,004.46/9,291.11
  6. Step 6: Final answer
    x = 7,937.48

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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.