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Finding the Fourth Proportional to 9,214.63, 12,715.71 and 5,235.19

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Solution

The fourth proportional to 9,214.63, 12,715.71 and 5,235.19 is: 7,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.63 : 12,715.71 = 5,235.19 : x
  2. Step 2: Convert to fraction form
    9,214.63/12,715.71 = 5,235.19/x
  3. Step 3: Cross multiply
    9,214.63x = 12,715.71 × 5,235.19
  4. Step 4: Simplify right side
    9,214.63x = 66,569,106.41
  5. Step 5: Solve for x
    x = 66,569,106.41/9,214.63
  6. Step 6: Final answer
    x = 7,224.29

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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.