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Finding the Fourth Proportional to 6,970.09, 9,618.61 and 3,986.20

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Solution

The fourth proportional to 6,970.09, 9,618.61 and 3,986.20 is: 5,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.09 : 9,618.61 = 3,986.20 : x
  2. Step 2: Convert to fraction form
    6,970.09/9,618.61 = 3,986.20/x
  3. Step 3: Cross multiply
    6,970.09x = 9,618.61 × 3,986.20
  4. Step 4: Simplify right side
    6,970.09x = 38,341,703.18
  5. Step 5: Solve for x
    x = 38,341,703.18/6,970.09
  6. Step 6: Final answer
    x = 5,500.89

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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.