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Finding the Fourth Proportional to 9,782.30, 13,499.63 and 5,306.11

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Solution

The fourth proportional to 9,782.30, 13,499.63 and 5,306.11 is: 7,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.30 : 13,499.63 = 5,306.11 : x
  2. Step 2: Convert to fraction form
    9,782.30/13,499.63 = 5,306.11/x
  3. Step 3: Cross multiply
    9,782.30x = 13,499.63 × 5,306.11
  4. Step 4: Simplify right side
    9,782.30x = 71,630,481.36
  5. Step 5: Solve for x
    x = 71,630,481.36/9,782.30
  6. Step 6: Final answer
    x = 7,322.46

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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.