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Finding the Fourth Proportional to 6,232.95, 9,357.63 and 4,855.14

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Solution

The fourth proportional to 6,232.95, 9,357.63 and 4,855.14 is: 7,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.95 : 9,357.63 = 4,855.14 : x
  2. Step 2: Convert to fraction form
    6,232.95/9,357.63 = 4,855.14/x
  3. Step 3: Cross multiply
    6,232.95x = 9,357.63 × 4,855.14
  4. Step 4: Simplify right side
    6,232.95x = 45,432,585.51
  5. Step 5: Solve for x
    x = 45,432,585.51/6,232.95
  6. Step 6: Final answer
    x = 7,289.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.