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Finding the Fourth Proportional to 9,158.36, 13,718.36 and 5,854.64

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Solution

The fourth proportional to 9,158.36, 13,718.36 and 5,854.64 is: 8,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.36 : 13,718.36 = 5,854.64 : x
  2. Step 2: Convert to fraction form
    9,158.36/13,718.36 = 5,854.64/x
  3. Step 3: Cross multiply
    9,158.36x = 13,718.36 × 5,854.64
  4. Step 4: Simplify right side
    9,158.36x = 80,316,059.19
  5. Step 5: Solve for x
    x = 80,316,059.19/9,158.36
  6. Step 6: Final answer
    x = 8,769.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.