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Finding the Fourth Proportional to 9,616.89, 14,426.95 and 4,422.63

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Solution

The fourth proportional to 9,616.89, 14,426.95 and 4,422.63 is: 6,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.89 : 14,426.95 = 4,422.63 : x
  2. Step 2: Convert to fraction form
    9,616.89/14,426.95 = 4,422.63/x
  3. Step 3: Cross multiply
    9,616.89x = 14,426.95 × 4,422.63
  4. Step 4: Simplify right side
    9,616.89x = 63,804,978.69
  5. Step 5: Solve for x
    x = 63,804,978.69/9,616.89
  6. Step 6: Final answer
    x = 6,634.68

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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.