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Finding the Fourth Proportional to 9,253.29, 12,772.80 and 5,477.78

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Solution

The fourth proportional to 9,253.29, 12,772.80 and 5,477.78 is: 7,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.29 : 12,772.80 = 5,477.78 : x
  2. Step 2: Convert to fraction form
    9,253.29/12,772.80 = 5,477.78/x
  3. Step 3: Cross multiply
    9,253.29x = 12,772.80 × 5,477.78
  4. Step 4: Simplify right side
    9,253.29x = 69,966,524.52
  5. Step 5: Solve for x
    x = 69,966,524.52/9,253.29
  6. Step 6: Final answer
    x = 7,561.26

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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.