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Finding the Fourth Proportional to 9,291.04, 12,827.64 and 5,758

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Solution

The fourth proportional to 9,291.04, 12,827.64 and 5,758 is: 7,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.04 : 12,827.64 = 5,758 : x
  2. Step 2: Convert to fraction form
    9,291.04/12,827.64 = 5,758/x
  3. Step 3: Cross multiply
    9,291.04x = 12,827.64 × 5,758
  4. Step 4: Simplify right side
    9,291.04x = 73,861,551.12
  5. Step 5: Solve for x
    x = 73,861,551.12/9,291.04
  6. Step 6: Final answer
    x = 7,949.76

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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.