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Finding the Fourth Proportional to 9,468.56, 13,065.08 and 5,690.82

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Solution

The fourth proportional to 9,468.56, 13,065.08 and 5,690.82 is: 7,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.56 : 13,065.08 = 5,690.82 : x
  2. Step 2: Convert to fraction form
    9,468.56/13,065.08 = 5,690.82/x
  3. Step 3: Cross multiply
    9,468.56x = 13,065.08 × 5,690.82
  4. Step 4: Simplify right side
    9,468.56x = 74,351,032.79
  5. Step 5: Solve for x
    x = 74,351,032.79/9,468.56
  6. Step 6: Final answer
    x = 7,852.42

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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.