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Finding the Fourth Proportional to 6,562.35, 9,848.14 and 5,934.95

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Solution

The fourth proportional to 6,562.35, 9,848.14 and 5,934.95 is: 8,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.35 : 9,848.14 = 5,934.95 : x
  2. Step 2: Convert to fraction form
    6,562.35/9,848.14 = 5,934.95/x
  3. Step 3: Cross multiply
    6,562.35x = 9,848.14 × 5,934.95
  4. Step 4: Simplify right side
    6,562.35x = 58,448,188.82
  5. Step 5: Solve for x
    x = 58,448,188.82/6,562.35
  6. Step 6: Final answer
    x = 8,906.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.