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Finding the Fourth Proportional to 6,401.42, 8,835.09 and 5,085.17

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Solution

The fourth proportional to 6,401.42, 8,835.09 and 5,085.17 is: 7,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.42 : 8,835.09 = 5,085.17 : x
  2. Step 2: Convert to fraction form
    6,401.42/8,835.09 = 5,085.17/x
  3. Step 3: Cross multiply
    6,401.42x = 8,835.09 × 5,085.17
  4. Step 4: Simplify right side
    6,401.42x = 44,927,934.62
  5. Step 5: Solve for x
    x = 44,927,934.62/6,401.42
  6. Step 6: Final answer
    x = 7,018.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.