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Finding the Fourth Proportional to 9,463.19, 13,059.03 and 5,214.64

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Solution

The fourth proportional to 9,463.19, 13,059.03 and 5,214.64 is: 7,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.19 : 13,059.03 = 5,214.64 : x
  2. Step 2: Convert to fraction form
    9,463.19/13,059.03 = 5,214.64/x
  3. Step 3: Cross multiply
    9,463.19x = 13,059.03 × 5,214.64
  4. Step 4: Simplify right side
    9,463.19x = 68,098,192.02
  5. Step 5: Solve for x
    x = 68,098,192.02/9,463.19
  6. Step 6: Final answer
    x = 7,196.11

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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.