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Finding the Fourth Proportional to 9,357.75, 14,057.10 and 6,908.31

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Solution

The fourth proportional to 9,357.75, 14,057.10 and 6,908.31 is: 10,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.75 : 14,057.10 = 6,908.31 : x
  2. Step 2: Convert to fraction form
    9,357.75/14,057.10 = 6,908.31/x
  3. Step 3: Cross multiply
    9,357.75x = 14,057.10 × 6,908.31
  4. Step 4: Simplify right side
    9,357.75x = 97,110,804.50
  5. Step 5: Solve for x
    x = 97,110,804.50/9,357.75
  6. Step 6: Final answer
    x = 10,377.58

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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.