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Finding the Fourth Proportional to 6,903.14, 9,525.88 and 4,070.37

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Solution

The fourth proportional to 6,903.14, 9,525.88 and 4,070.37 is: 5,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.14 : 9,525.88 = 4,070.37 : x
  2. Step 2: Convert to fraction form
    6,903.14/9,525.88 = 4,070.37/x
  3. Step 3: Cross multiply
    6,903.14x = 9,525.88 × 4,070.37
  4. Step 4: Simplify right side
    6,903.14x = 38,773,869.31
  5. Step 5: Solve for x
    x = 38,773,869.31/6,903.14
  6. Step 6: Final answer
    x = 5,616.85

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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.