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Finding the Fourth Proportional to 9,561.64, 14,339.20 and 3,320

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Solution

The fourth proportional to 9,561.64, 14,339.20 and 3,320 is: 4,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.64 : 14,339.20 = 3,320 : x
  2. Step 2: Convert to fraction form
    9,561.64/14,339.20 = 3,320/x
  3. Step 3: Cross multiply
    9,561.64x = 14,339.20 × 3,320
  4. Step 4: Simplify right side
    9,561.64x = 47,606,144
  5. Step 5: Solve for x
    x = 47,606,144/9,561.64
  6. Step 6: Final answer
    x = 4,978.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.