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Finding the Fourth Proportional to 8,906.34, 12,291 and 4,927.74

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Solution

The fourth proportional to 8,906.34, 12,291 and 4,927.74 is: 6,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.34 : 12,291 = 4,927.74 : x
  2. Step 2: Convert to fraction form
    8,906.34/12,291 = 4,927.74/x
  3. Step 3: Cross multiply
    8,906.34x = 12,291 × 4,927.74
  4. Step 4: Simplify right side
    8,906.34x = 60,566,852.34
  5. Step 5: Solve for x
    x = 60,566,852.34/8,906.34
  6. Step 6: Final answer
    x = 6,800.42

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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.