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Finding the Fourth Proportional to 6,962.83, 10,435.13 and 6,034.57

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Solution

The fourth proportional to 6,962.83, 10,435.13 and 6,034.57 is: 9,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.83 : 10,435.13 = 6,034.57 : x
  2. Step 2: Convert to fraction form
    6,962.83/10,435.13 = 6,034.57/x
  3. Step 3: Cross multiply
    6,962.83x = 10,435.13 × 6,034.57
  4. Step 4: Simplify right side
    6,962.83x = 62,971,488.81
  5. Step 5: Solve for x
    x = 62,971,488.81/6,962.83
  6. Step 6: Final answer
    x = 9,043.95

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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.