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Finding the Fourth Proportional to 6,228.40, 9,355.60 and 5,256.40

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Solution

The fourth proportional to 6,228.40, 9,355.60 and 5,256.40 is: 7,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.40 : 9,355.60 = 5,256.40 : x
  2. Step 2: Convert to fraction form
    6,228.40/9,355.60 = 5,256.40/x
  3. Step 3: Cross multiply
    6,228.40x = 9,355.60 × 5,256.40
  4. Step 4: Simplify right side
    6,228.40x = 49,176,775.84
  5. Step 5: Solve for x
    x = 49,176,775.84/6,228.40
  6. Step 6: Final answer
    x = 7,895.57

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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.