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Finding the Fourth Proportional to 9,212.53, 12,715.35 and 5,854.69

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Solution

The fourth proportional to 9,212.53, 12,715.35 and 5,854.69 is: 8,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.53 : 12,715.35 = 5,854.69 : x
  2. Step 2: Convert to fraction form
    9,212.53/12,715.35 = 5,854.69/x
  3. Step 3: Cross multiply
    9,212.53x = 12,715.35 × 5,854.69
  4. Step 4: Simplify right side
    9,212.53x = 74,444,403.22
  5. Step 5: Solve for x
    x = 74,444,403.22/9,212.53
  6. Step 6: Final answer
    x = 8,080.78

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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.