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Finding the Fourth Proportional to 9,597, 14,395.52 and 2,671.52

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Solution

The fourth proportional to 9,597, 14,395.52 and 2,671.52 is: 4,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 14,395.52 = 2,671.52 : x
  2. Step 2: Convert to fraction form
    9,597/14,395.52 = 2,671.52/x
  3. Step 3: Cross multiply
    9,597x = 14,395.52 × 2,671.52
  4. Step 4: Simplify right side
    9,597x = 38,457,919.59
  5. Step 5: Solve for x
    x = 38,457,919.59/9,597
  6. Step 6: Final answer
    x = 4,007.29

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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.