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Finding the Fourth Proportional to 9,424.29, 14,133.19 and 4,742.49

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Solution

The fourth proportional to 9,424.29, 14,133.19 and 4,742.49 is: 7,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.29 : 14,133.19 = 4,742.49 : x
  2. Step 2: Convert to fraction form
    9,424.29/14,133.19 = 4,742.49/x
  3. Step 3: Cross multiply
    9,424.29x = 14,133.19 × 4,742.49
  4. Step 4: Simplify right side
    9,424.29x = 67,026,512.24
  5. Step 5: Solve for x
    x = 67,026,512.24/9,424.29
  6. Step 6: Final answer
    x = 7,112.10

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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.