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Finding the Fourth Proportional to 9,424.84, 14,135.64 and 3,420.32

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Solution

The fourth proportional to 9,424.84, 14,135.64 and 3,420.32 is: 5,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.84 : 14,135.64 = 3,420.32 : x
  2. Step 2: Convert to fraction form
    9,424.84/14,135.64 = 3,420.32/x
  3. Step 3: Cross multiply
    9,424.84x = 14,135.64 × 3,420.32
  4. Step 4: Simplify right side
    9,424.84x = 48,348,412.20
  5. Step 5: Solve for x
    x = 48,348,412.20/9,424.84
  6. Step 6: Final answer
    x = 5,129.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.