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Finding the Fourth Proportional to 9,177.80, 12,866.20 and 9,177.80

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Solution

The fourth proportional to 9,177.80, 12,866.20 and 9,177.80 is: 12,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.80 : 12,866.20 = 9,177.80 : x
  2. Step 2: Convert to fraction form
    9,177.80/12,866.20 = 9,177.80/x
  3. Step 3: Cross multiply
    9,177.80x = 12,866.20 × 9,177.80
  4. Step 4: Simplify right side
    9,177.80x = 118,083,410.36
  5. Step 5: Solve for x
    x = 118,083,410.36/9,177.80
  6. Step 6: Final answer
    x = 12,866.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.