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Finding the Fourth Proportional to 9,038.24, 13,539.80 and 6,662

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Solution

The fourth proportional to 9,038.24, 13,539.80 and 6,662 is: 9,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.24 : 13,539.80 = 6,662 : x
  2. Step 2: Convert to fraction form
    9,038.24/13,539.80 = 6,662/x
  3. Step 3: Cross multiply
    9,038.24x = 13,539.80 × 6,662
  4. Step 4: Simplify right side
    9,038.24x = 90,202,147.60
  5. Step 5: Solve for x
    x = 90,202,147.60/9,038.24
  6. Step 6: Final answer
    x = 9,980.06

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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.