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Finding the Fourth Proportional to 9,215.70, 13,813.68 and 4,768.88

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Solution

The fourth proportional to 9,215.70, 13,813.68 and 4,768.88 is: 7,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.70 : 13,813.68 = 4,768.88 : x
  2. Step 2: Convert to fraction form
    9,215.70/13,813.68 = 4,768.88/x
  3. Step 3: Cross multiply
    9,215.70x = 13,813.68 × 4,768.88
  4. Step 4: Simplify right side
    9,215.70x = 65,875,782.28
  5. Step 5: Solve for x
    x = 65,875,782.28/9,215.70
  6. Step 6: Final answer
    x = 7,148.21

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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.