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Finding the Fourth Proportional to 9,256.06, 12,772.59 and 5,277.10

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Solution

The fourth proportional to 9,256.06, 12,772.59 and 5,277.10 is: 7,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.06 : 12,772.59 = 5,277.10 : x
  2. Step 2: Convert to fraction form
    9,256.06/12,772.59 = 5,277.10/x
  3. Step 3: Cross multiply
    9,256.06x = 12,772.59 × 5,277.10
  4. Step 4: Simplify right side
    9,256.06x = 67,402,234.69
  5. Step 5: Solve for x
    x = 67,402,234.69/9,256.06
  6. Step 6: Final answer
    x = 7,281.96

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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.