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Finding the Fourth Proportional to 8,695.90, 13,033.16 and 4,009.40

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Solution

The fourth proportional to 8,695.90, 13,033.16 and 4,009.40 is: 6,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.90 : 13,033.16 = 4,009.40 : x
  2. Step 2: Convert to fraction form
    8,695.90/13,033.16 = 4,009.40/x
  3. Step 3: Cross multiply
    8,695.90x = 13,033.16 × 4,009.40
  4. Step 4: Simplify right side
    8,695.90x = 52,255,131.66
  5. Step 5: Solve for x
    x = 52,255,131.66/8,695.90
  6. Step 6: Final answer
    x = 6,009.17

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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.