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Finding the Fourth Proportional to 9,235.71, 12,746.52 and 5,257.22

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Solution

The fourth proportional to 9,235.71, 12,746.52 and 5,257.22 is: 7,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.71 : 12,746.52 = 5,257.22 : x
  2. Step 2: Convert to fraction form
    9,235.71/12,746.52 = 5,257.22/x
  3. Step 3: Cross multiply
    9,235.71x = 12,746.52 × 5,257.22
  4. Step 4: Simplify right side
    9,235.71x = 67,011,196.14
  5. Step 5: Solve for x
    x = 67,011,196.14/9,235.71
  6. Step 6: Final answer
    x = 7,255.66

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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.