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Finding the Fourth Proportional to 9,994.52, 13,792.38 and 5,802.68

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Solution

The fourth proportional to 9,994.52, 13,792.38 and 5,802.68 is: 8,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.52 : 13,792.38 = 5,802.68 : x
  2. Step 2: Convert to fraction form
    9,994.52/13,792.38 = 5,802.68/x
  3. Step 3: Cross multiply
    9,994.52x = 13,792.38 × 5,802.68
  4. Step 4: Simplify right side
    9,994.52x = 80,032,767.58
  5. Step 5: Solve for x
    x = 80,032,767.58/9,994.52
  6. Step 6: Final answer
    x = 8,007.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.