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Finding the Fourth Proportional to 9,651.12, 13,312.20 and 7,658.52

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Solution

The fourth proportional to 9,651.12, 13,312.20 and 7,658.52 is: 10,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.12 : 13,312.20 = 7,658.52 : x
  2. Step 2: Convert to fraction form
    9,651.12/13,312.20 = 7,658.52/x
  3. Step 3: Cross multiply
    9,651.12x = 13,312.20 × 7,658.52
  4. Step 4: Simplify right side
    9,651.12x = 101,951,749.94
  5. Step 5: Solve for x
    x = 101,951,749.94/9,651.12
  6. Step 6: Final answer
    x = 10,563.72

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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.