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Finding the Fourth Proportional to 9,307.32, 12,847.52 and 6,164.52

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Solution

The fourth proportional to 9,307.32, 12,847.52 and 6,164.52 is: 8,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.32 : 12,847.52 = 6,164.52 : x
  2. Step 2: Convert to fraction form
    9,307.32/12,847.52 = 6,164.52/x
  3. Step 3: Cross multiply
    9,307.32x = 12,847.52 × 6,164.52
  4. Step 4: Simplify right side
    9,307.32x = 79,198,793.99
  5. Step 5: Solve for x
    x = 79,198,793.99/9,307.32
  6. Step 6: Final answer
    x = 8,509.30

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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.