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Finding the Fourth Proportional to 9,596.76, 14,395.96 and 2,671.26

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Solution

The fourth proportional to 9,596.76, 14,395.96 and 2,671.26 is: 4,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.76 : 14,395.96 = 2,671.26 : x
  2. Step 2: Convert to fraction form
    9,596.76/14,395.96 = 2,671.26/x
  3. Step 3: Cross multiply
    9,596.76x = 14,395.96 × 2,671.26
  4. Step 4: Simplify right side
    9,596.76x = 38,455,352.11
  5. Step 5: Solve for x
    x = 38,455,352.11/9,596.76
  6. Step 6: Final answer
    x = 4,007.12

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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.