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Finding the Fourth Proportional to 9,709.19, 14,532.46 and 5,022.74

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Solution

The fourth proportional to 9,709.19, 14,532.46 and 5,022.74 is: 7,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.19 : 14,532.46 = 5,022.74 : x
  2. Step 2: Convert to fraction form
    9,709.19/14,532.46 = 5,022.74/x
  3. Step 3: Cross multiply
    9,709.19x = 14,532.46 × 5,022.74
  4. Step 4: Simplify right side
    9,709.19x = 72,992,782.50
  5. Step 5: Solve for x
    x = 72,992,782.50/9,709.19
  6. Step 6: Final answer
    x = 7,517.91

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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.