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Finding the Fourth Proportional to 9,774.82, 14,656.75 and 4,224.70

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Solution

The fourth proportional to 9,774.82, 14,656.75 and 4,224.70 is: 6,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.82 : 14,656.75 = 4,224.70 : x
  2. Step 2: Convert to fraction form
    9,774.82/14,656.75 = 4,224.70/x
  3. Step 3: Cross multiply
    9,774.82x = 14,656.75 × 4,224.70
  4. Step 4: Simplify right side
    9,774.82x = 61,920,371.73
  5. Step 5: Solve for x
    x = 61,920,371.73/9,774.82
  6. Step 6: Final answer
    x = 6,334.68

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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.