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Finding the Fourth Proportional to 9,633.60, 13,295.88 and 6,980.04

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Solution

The fourth proportional to 9,633.60, 13,295.88 and 6,980.04 is: 9,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.60 : 13,295.88 = 6,980.04 : x
  2. Step 2: Convert to fraction form
    9,633.60/13,295.88 = 6,980.04/x
  3. Step 3: Cross multiply
    9,633.60x = 13,295.88 × 6,980.04
  4. Step 4: Simplify right side
    9,633.60x = 92,805,774.24
  5. Step 5: Solve for x
    x = 92,805,774.24/9,633.60
  6. Step 6: Final answer
    x = 9,633.55

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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.