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Finding the Fourth Proportional to 6,362.68, 9,547.08 and 3,284.68

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Solution

The fourth proportional to 6,362.68, 9,547.08 and 3,284.68 is: 4,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.68 : 9,547.08 = 3,284.68 : x
  2. Step 2: Convert to fraction form
    6,362.68/9,547.08 = 3,284.68/x
  3. Step 3: Cross multiply
    6,362.68x = 9,547.08 × 3,284.68
  4. Step 4: Simplify right side
    6,362.68x = 31,359,102.73
  5. Step 5: Solve for x
    x = 31,359,102.73/6,362.68
  6. Step 6: Final answer
    x = 4,928.60

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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.