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Finding the Fourth Proportional to 9,843.83, 14,746.07 and 6,716.07

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Solution

The fourth proportional to 9,843.83, 14,746.07 and 6,716.07 is: 10,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.83 : 14,746.07 = 6,716.07 : x
  2. Step 2: Convert to fraction form
    9,843.83/14,746.07 = 6,716.07/x
  3. Step 3: Cross multiply
    9,843.83x = 14,746.07 × 6,716.07
  4. Step 4: Simplify right side
    9,843.83x = 99,035,655.14
  5. Step 5: Solve for x
    x = 99,035,655.14/9,843.83
  6. Step 6: Final answer
    x = 10,060.68

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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.