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Finding the Fourth Proportional to 9,726.01, 13,420.79 and 5,476.75

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Solution

The fourth proportional to 9,726.01, 13,420.79 and 5,476.75 is: 7,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.01 : 13,420.79 = 5,476.75 : x
  2. Step 2: Convert to fraction form
    9,726.01/13,420.79 = 5,476.75/x
  3. Step 3: Cross multiply
    9,726.01x = 13,420.79 × 5,476.75
  4. Step 4: Simplify right side
    9,726.01x = 73,502,271.23
  5. Step 5: Solve for x
    x = 73,502,271.23/9,726.01
  6. Step 6: Final answer
    x = 7,557.29

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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.