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Finding the Fourth Proportional to 7,069.86, 9,755.70 and 4,085.46

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Solution

The fourth proportional to 7,069.86, 9,755.70 and 4,085.46 is: 5,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.86 : 9,755.70 = 4,085.46 : x
  2. Step 2: Convert to fraction form
    7,069.86/9,755.70 = 4,085.46/x
  3. Step 3: Cross multiply
    7,069.86x = 9,755.70 × 4,085.46
  4. Step 4: Simplify right side
    7,069.86x = 39,856,522.12
  5. Step 5: Solve for x
    x = 39,856,522.12/7,069.86
  6. Step 6: Final answer
    x = 5,637.53

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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.