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Finding the Fourth Proportional to 9,412.34, 12,988.55 and 5,433.21

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Solution

The fourth proportional to 9,412.34, 12,988.55 and 5,433.21 is: 7,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.34 : 12,988.55 = 5,433.21 : x
  2. Step 2: Convert to fraction form
    9,412.34/12,988.55 = 5,433.21/x
  3. Step 3: Cross multiply
    9,412.34x = 12,988.55 × 5,433.21
  4. Step 4: Simplify right side
    9,412.34x = 70,569,533.33
  5. Step 5: Solve for x
    x = 70,569,533.33/9,412.34
  6. Step 6: Final answer
    x = 7,497.56

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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.