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Finding the Fourth Proportional to 6,155.06, 9,232.60 and 1,538.06

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Solution

The fourth proportional to 6,155.06, 9,232.60 and 1,538.06 is: 2,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.06 : 9,232.60 = 1,538.06 : x
  2. Step 2: Convert to fraction form
    6,155.06/9,232.60 = 1,538.06/x
  3. Step 3: Cross multiply
    6,155.06x = 9,232.60 × 1,538.06
  4. Step 4: Simplify right side
    6,155.06x = 14,200,292.76
  5. Step 5: Solve for x
    x = 14,200,292.76/6,155.06
  6. Step 6: Final answer
    x = 2,307.09

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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.