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Finding the Fourth Proportional to 6,093.19, 9,139.65 and 1,710.54

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Solution

The fourth proportional to 6,093.19, 9,139.65 and 1,710.54 is: 2,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.19 : 9,139.65 = 1,710.54 : x
  2. Step 2: Convert to fraction form
    6,093.19/9,139.65 = 1,710.54/x
  3. Step 3: Cross multiply
    6,093.19x = 9,139.65 × 1,710.54
  4. Step 4: Simplify right side
    6,093.19x = 15,633,736.91
  5. Step 5: Solve for x
    x = 15,633,736.91/6,093.19
  6. Step 6: Final answer
    x = 2,565.77

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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.