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Finding the Fourth Proportional to 6,059.10, 9,088.65 and 3,143.10

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Solution

The fourth proportional to 6,059.10, 9,088.65 and 3,143.10 is: 4,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.10 : 9,088.65 = 3,143.10 : x
  2. Step 2: Convert to fraction form
    6,059.10/9,088.65 = 3,143.10/x
  3. Step 3: Cross multiply
    6,059.10x = 9,088.65 × 3,143.10
  4. Step 4: Simplify right side
    6,059.10x = 28,566,535.82
  5. Step 5: Solve for x
    x = 28,566,535.82/6,059.10
  6. Step 6: Final answer
    x = 4,714.65

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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.