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Finding the Fourth Proportional to 9,858.93, 14,780.40 and 6,731.06

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Solution

The fourth proportional to 9,858.93, 14,780.40 and 6,731.06 is: 10,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.93 : 14,780.40 = 6,731.06 : x
  2. Step 2: Convert to fraction form
    9,858.93/14,780.40 = 6,731.06/x
  3. Step 3: Cross multiply
    9,858.93x = 14,780.40 × 6,731.06
  4. Step 4: Simplify right side
    9,858.93x = 99,487,685.32
  5. Step 5: Solve for x
    x = 99,487,685.32/9,858.93
  6. Step 6: Final answer
    x = 10,091.12

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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.