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Finding the Fourth Proportional to 9,219.81, 13,825.83 and 5,058.63

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Solution

The fourth proportional to 9,219.81, 13,825.83 and 5,058.63 is: 7,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.81 : 13,825.83 = 5,058.63 : x
  2. Step 2: Convert to fraction form
    9,219.81/13,825.83 = 5,058.63/x
  3. Step 3: Cross multiply
    9,219.81x = 13,825.83 × 5,058.63
  4. Step 4: Simplify right side
    9,219.81x = 69,939,758.41
  5. Step 5: Solve for x
    x = 69,939,758.41/9,219.81
  6. Step 6: Final answer
    x = 7,585.81

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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.