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Finding the Fourth Proportional to 7,039.14, 9,713.05 and 4,205.91

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Solution

The fourth proportional to 7,039.14, 9,713.05 and 4,205.91 is: 5,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.14 : 9,713.05 = 4,205.91 : x
  2. Step 2: Convert to fraction form
    7,039.14/9,713.05 = 4,205.91/x
  3. Step 3: Cross multiply
    7,039.14x = 9,713.05 × 4,205.91
  4. Step 4: Simplify right side
    7,039.14x = 40,852,230.81
  5. Step 5: Solve for x
    x = 40,852,230.81/7,039.14
  6. Step 6: Final answer
    x = 5,803.58

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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.