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Finding the Fourth Proportional to 6,177.32, 9,275.21 and 6,085.06

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Solution

The fourth proportional to 6,177.32, 9,275.21 and 6,085.06 is: 9,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.32 : 9,275.21 = 6,085.06 : x
  2. Step 2: Convert to fraction form
    6,177.32/9,275.21 = 6,085.06/x
  3. Step 3: Cross multiply
    6,177.32x = 9,275.21 × 6,085.06
  4. Step 4: Simplify right side
    6,177.32x = 56,440,209.36
  5. Step 5: Solve for x
    x = 56,440,209.36/6,177.32
  6. Step 6: Final answer
    x = 9,136.68

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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.