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Finding the Fourth Proportional to 29,860.04, 44,796.54 and 9,083

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Solution

The fourth proportional to 29,860.04, 44,796.54 and 9,083 is: 13,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860.04 : 44,796.54 = 9,083 : x
  2. Step 2: Convert to fraction form
    29,860.04/44,796.54 = 9,083/x
  3. Step 3: Cross multiply
    29,860.04x = 44,796.54 × 9,083
  4. Step 4: Simplify right side
    29,860.04x = 406,886,972.82
  5. Step 5: Solve for x
    x = 406,886,972.82/29,860.04
  6. Step 6: Final answer
    x = 13,626.47

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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.