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Finding the Fourth Proportional to 8,963.74, 13,435.71 and 6,509.26

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Solution

The fourth proportional to 8,963.74, 13,435.71 and 6,509.26 is: 9,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.74 : 13,435.71 = 6,509.26 : x
  2. Step 2: Convert to fraction form
    8,963.74/13,435.71 = 6,509.26/x
  3. Step 3: Cross multiply
    8,963.74x = 13,435.71 × 6,509.26
  4. Step 4: Simplify right side
    8,963.74x = 87,456,529.67
  5. Step 5: Solve for x
    x = 87,456,529.67/8,963.74
  6. Step 6: Final answer
    x = 9,756.70

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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.