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Finding the Fourth Proportional to 9,726.84, 13,427.94 and 7,598.52

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Solution

The fourth proportional to 9,726.84, 13,427.94 and 7,598.52 is: 10,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.84 : 13,427.94 = 7,598.52 : x
  2. Step 2: Convert to fraction form
    9,726.84/13,427.94 = 7,598.52/x
  3. Step 3: Cross multiply
    9,726.84x = 13,427.94 × 7,598.52
  4. Step 4: Simplify right side
    9,726.84x = 102,032,470.65
  5. Step 5: Solve for x
    x = 102,032,470.65/9,726.84
  6. Step 6: Final answer
    x = 10,489.79

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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.