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Finding the Fourth Proportional to 8,976.86, 13,465.29 and 4,295.77

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Solution

The fourth proportional to 8,976.86, 13,465.29 and 4,295.77 is: 6,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.86 : 13,465.29 = 4,295.77 : x
  2. Step 2: Convert to fraction form
    8,976.86/13,465.29 = 4,295.77/x
  3. Step 3: Cross multiply
    8,976.86x = 13,465.29 × 4,295.77
  4. Step 4: Simplify right side
    8,976.86x = 57,843,721.50
  5. Step 5: Solve for x
    x = 57,843,721.50/8,976.86
  6. Step 6: Final answer
    x = 6,443.65

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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.