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Finding the Fourth Proportional to 9,215.10, 13,822.64 and 3,059.10

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Solution

The fourth proportional to 9,215.10, 13,822.64 and 3,059.10 is: 4,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.10 : 13,822.64 = 3,059.10 : x
  2. Step 2: Convert to fraction form
    9,215.10/13,822.64 = 3,059.10/x
  3. Step 3: Cross multiply
    9,215.10x = 13,822.64 × 3,059.10
  4. Step 4: Simplify right side
    9,215.10x = 42,284,768.91
  5. Step 5: Solve for x
    x = 42,284,768.91/9,215.10
  6. Step 6: Final answer
    x = 4,588.64

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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.