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Finding the Fourth Proportional to 9,177.80, 12,664.74 and 4,985.96

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Solution

The fourth proportional to 9,177.80, 12,664.74 and 4,985.96 is: 6,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.80 : 12,664.74 = 4,985.96 : x
  2. Step 2: Convert to fraction form
    9,177.80/12,664.74 = 4,985.96/x
  3. Step 3: Cross multiply
    9,177.80x = 12,664.74 × 4,985.96
  4. Step 4: Simplify right side
    9,177.80x = 63,145,887.05
  5. Step 5: Solve for x
    x = 63,145,887.05/9,177.80
  6. Step 6: Final answer
    x = 6,880.29

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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.