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Finding the Fourth Proportional to 9,168.72, 12,652.80 and 4,977

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Solution

The fourth proportional to 9,168.72, 12,652.80 and 4,977 is: 6,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.72 : 12,652.80 = 4,977 : x
  2. Step 2: Convert to fraction form
    9,168.72/12,652.80 = 4,977/x
  3. Step 3: Cross multiply
    9,168.72x = 12,652.80 × 4,977
  4. Step 4: Simplify right side
    9,168.72x = 62,972,985.60
  5. Step 5: Solve for x
    x = 62,972,985.60/9,168.72
  6. Step 6: Final answer
    x = 6,868.24

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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.