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Finding the Fourth Proportional to 9,672.60, 14,505.80 and 3,097.24

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Solution

The fourth proportional to 9,672.60, 14,505.80 and 3,097.24 is: 4,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.60 : 14,505.80 = 3,097.24 : x
  2. Step 2: Convert to fraction form
    9,672.60/14,505.80 = 3,097.24/x
  3. Step 3: Cross multiply
    9,672.60x = 14,505.80 × 3,097.24
  4. Step 4: Simplify right side
    9,672.60x = 44,927,943.99
  5. Step 5: Solve for x
    x = 44,927,943.99/9,672.60
  6. Step 6: Final answer
    x = 4,644.87

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Why These Related Problems?

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