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Finding the Fourth Proportional to 6,986.71, 9,645.65 and 4,632.04

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Solution

The fourth proportional to 6,986.71, 9,645.65 and 4,632.04 is: 6,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.71 : 9,645.65 = 4,632.04 : x
  2. Step 2: Convert to fraction form
    6,986.71/9,645.65 = 4,632.04/x
  3. Step 3: Cross multiply
    6,986.71x = 9,645.65 × 4,632.04
  4. Step 4: Simplify right side
    6,986.71x = 44,679,036.63
  5. Step 5: Solve for x
    x = 44,679,036.63/6,986.71
  6. Step 6: Final answer
    x = 6,394.86

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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.