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Finding the Fourth Proportional to 6,970.53, 9,613.69 and 6,129.48

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Solution

The fourth proportional to 6,970.53, 9,613.69 and 6,129.48 is: 8,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.53 : 9,613.69 = 6,129.48 : x
  2. Step 2: Convert to fraction form
    6,970.53/9,613.69 = 6,129.48/x
  3. Step 3: Cross multiply
    6,970.53x = 9,613.69 × 6,129.48
  4. Step 4: Simplify right side
    6,970.53x = 58,926,920.58
  5. Step 5: Solve for x
    x = 58,926,920.58/6,970.53
  6. Step 6: Final answer
    x = 8,453.72

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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.