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Finding the Fourth Proportional to 9,713.99, 13,405.25 and 5,522.24

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Solution

The fourth proportional to 9,713.99, 13,405.25 and 5,522.24 is: 7,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.99 : 13,405.25 = 5,522.24 : x
  2. Step 2: Convert to fraction form
    9,713.99/13,405.25 = 5,522.24/x
  3. Step 3: Cross multiply
    9,713.99x = 13,405.25 × 5,522.24
  4. Step 4: Simplify right side
    9,713.99x = 74,026,980.15
  5. Step 5: Solve for x
    x = 74,026,980.15/9,713.99
  6. Step 6: Final answer
    x = 7,620.66

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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.