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Finding the Fourth Proportional to 9,295.84, 12,827.64 and 5,317.12

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Solution

The fourth proportional to 9,295.84, 12,827.64 and 5,317.12 is: 7,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.84 : 12,827.64 = 5,317.12 : x
  2. Step 2: Convert to fraction form
    9,295.84/12,827.64 = 5,317.12/x
  3. Step 3: Cross multiply
    9,295.84x = 12,827.64 × 5,317.12
  4. Step 4: Simplify right side
    9,295.84x = 68,206,101.20
  5. Step 5: Solve for x
    x = 68,206,101.20/9,295.84
  6. Step 6: Final answer
    x = 7,337.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.