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Finding the Fourth Proportional to 8,962.34, 12,364.72 and 5,424.26

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Solution

The fourth proportional to 8,962.34, 12,364.72 and 5,424.26 is: 7,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.34 : 12,364.72 = 5,424.26 : x
  2. Step 2: Convert to fraction form
    8,962.34/12,364.72 = 5,424.26/x
  3. Step 3: Cross multiply
    8,962.34x = 12,364.72 × 5,424.26
  4. Step 4: Simplify right side
    8,962.34x = 67,069,380.72
  5. Step 5: Solve for x
    x = 67,069,380.72/8,962.34
  6. Step 6: Final answer
    x = 7,483.47

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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.