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Finding the Fourth Proportional to 9,534.23, 13,157.22 and 5,808.23

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Solution

The fourth proportional to 9,534.23, 13,157.22 and 5,808.23 is: 8,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.23 : 13,157.22 = 5,808.23 : x
  2. Step 2: Convert to fraction form
    9,534.23/13,157.22 = 5,808.23/x
  3. Step 3: Cross multiply
    9,534.23x = 13,157.22 × 5,808.23
  4. Step 4: Simplify right side
    9,534.23x = 76,420,159.92
  5. Step 5: Solve for x
    x = 76,420,159.92/9,534.23
  6. Step 6: Final answer
    x = 8,015.35

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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.