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Finding the Fourth Proportional to 9,256.80, 12,772.35 and 5,478.08

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Solution

The fourth proportional to 9,256.80, 12,772.35 and 5,478.08 is: 7,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.80 : 12,772.35 = 5,478.08 : x
  2. Step 2: Convert to fraction form
    9,256.80/12,772.35 = 5,478.08/x
  3. Step 3: Cross multiply
    9,256.80x = 12,772.35 × 5,478.08
  4. Step 4: Simplify right side
    9,256.80x = 69,967,963.07
  5. Step 5: Solve for x
    x = 69,967,963.07/9,256.80
  6. Step 6: Final answer
    x = 7,558.55

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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.