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Finding the Fourth Proportional to 9,808.34, 13,534.43 and 5,559.08

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Solution

The fourth proportional to 9,808.34, 13,534.43 and 5,559.08 is: 7,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.34 : 13,534.43 = 5,559.08 : x
  2. Step 2: Convert to fraction form
    9,808.34/13,534.43 = 5,559.08/x
  3. Step 3: Cross multiply
    9,808.34x = 13,534.43 × 5,559.08
  4. Step 4: Simplify right side
    9,808.34x = 75,238,883.66
  5. Step 5: Solve for x
    x = 75,238,883.66/9,808.34
  6. Step 6: Final answer
    x = 7,670.91

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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.