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Finding the Fourth Proportional to 9,630.58, 13,277.35 and 7,647.70

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Solution

The fourth proportional to 9,630.58, 13,277.35 and 7,647.70 is: 10,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.58 : 13,277.35 = 7,647.70 : x
  2. Step 2: Convert to fraction form
    9,630.58/13,277.35 = 7,647.70/x
  3. Step 3: Cross multiply
    9,630.58x = 13,277.35 × 7,647.70
  4. Step 4: Simplify right side
    9,630.58x = 101,541,189.60
  5. Step 5: Solve for x
    x = 101,541,189.60/9,630.58
  6. Step 6: Final answer
    x = 10,543.62

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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.