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Finding the Fourth Proportional to 9,463.23, 13,059.08 and 5,214.68

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Solution

The fourth proportional to 9,463.23, 13,059.08 and 5,214.68 is: 7,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.23 : 13,059.08 = 5,214.68 : x
  2. Step 2: Convert to fraction form
    9,463.23/13,059.08 = 5,214.68/x
  3. Step 3: Cross multiply
    9,463.23x = 13,059.08 × 5,214.68
  4. Step 4: Simplify right side
    9,463.23x = 68,098,931.67
  5. Step 5: Solve for x
    x = 68,098,931.67/9,463.23
  6. Step 6: Final answer
    x = 7,196.16

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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.