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Finding the Fourth Proportional to 9,176.54, 13,760.55 and 4,496.78

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Solution

The fourth proportional to 9,176.54, 13,760.55 and 4,496.78 is: 6,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.54 : 13,760.55 = 4,496.78 : x
  2. Step 2: Convert to fraction form
    9,176.54/13,760.55 = 4,496.78/x
  3. Step 3: Cross multiply
    9,176.54x = 13,760.55 × 4,496.78
  4. Step 4: Simplify right side
    9,176.54x = 61,878,166.03
  5. Step 5: Solve for x
    x = 61,878,166.03/9,176.54
  6. Step 6: Final answer
    x = 6,743.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.