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Finding the Fourth Proportional to 9,726.84, 14,591.94 and 6,442.56

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Solution

The fourth proportional to 9,726.84, 14,591.94 and 6,442.56 is: 9,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.84 : 14,591.94 = 6,442.56 : x
  2. Step 2: Convert to fraction form
    9,726.84/14,591.94 = 6,442.56/x
  3. Step 3: Cross multiply
    9,726.84x = 14,591.94 × 6,442.56
  4. Step 4: Simplify right side
    9,726.84x = 94,009,448.97
  5. Step 5: Solve for x
    x = 94,009,448.97/9,726.84
  6. Step 6: Final answer
    x = 9,664.95

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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.