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Finding the Fourth Proportional to 9,777.90, 13,496.56 and 6,595.80

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Solution

The fourth proportional to 9,777.90, 13,496.56 and 6,595.80 is: 9,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.90 : 13,496.56 = 6,595.80 : x
  2. Step 2: Convert to fraction form
    9,777.90/13,496.56 = 6,595.80/x
  3. Step 3: Cross multiply
    9,777.90x = 13,496.56 × 6,595.80
  4. Step 4: Simplify right side
    9,777.90x = 89,020,610.45
  5. Step 5: Solve for x
    x = 89,020,610.45/9,777.90
  6. Step 6: Final answer
    x = 9,104.27

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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.