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Finding the Fourth Proportional to 6,155.72, 9,233.58 and 1,538.72

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Solution

The fourth proportional to 6,155.72, 9,233.58 and 1,538.72 is: 2,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.72 : 9,233.58 = 1,538.72 : x
  2. Step 2: Convert to fraction form
    6,155.72/9,233.58 = 1,538.72/x
  3. Step 3: Cross multiply
    6,155.72x = 9,233.58 × 1,538.72
  4. Step 4: Simplify right side
    6,155.72x = 14,207,888.45
  5. Step 5: Solve for x
    x = 14,207,888.45/6,155.72
  6. Step 6: Final answer
    x = 2,308.08

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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.