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Finding the Fourth Proportional to 6,860.91, 9,462.42 and 4,206.45

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Solution

The fourth proportional to 6,860.91, 9,462.42 and 4,206.45 is: 5,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.91 : 9,462.42 = 4,206.45 : x
  2. Step 2: Convert to fraction form
    6,860.91/9,462.42 = 4,206.45/x
  3. Step 3: Cross multiply
    6,860.91x = 9,462.42 × 4,206.45
  4. Step 4: Simplify right side
    6,860.91x = 39,803,196.61
  5. Step 5: Solve for x
    x = 39,803,196.61/6,860.91
  6. Step 6: Final answer
    x = 5,801.45

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