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Finding the Fourth Proportional to 6,005.10, 9,024.70 and 4,070.82

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Solution

The fourth proportional to 6,005.10, 9,024.70 and 4,070.82 is: 6,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.10 : 9,024.70 = 4,070.82 : x
  2. Step 2: Convert to fraction form
    6,005.10/9,024.70 = 4,070.82/x
  3. Step 3: Cross multiply
    6,005.10x = 9,024.70 × 4,070.82
  4. Step 4: Simplify right side
    6,005.10x = 36,737,929.25
  5. Step 5: Solve for x
    x = 36,737,929.25/6,005.10
  6. Step 6: Final answer
    x = 6,117.79

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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.