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Finding the Fourth Proportional to 9,374.34, 14,052.18 and 5,216.24

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Solution

The fourth proportional to 9,374.34, 14,052.18 and 5,216.24 is: 7,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.34 : 14,052.18 = 5,216.24 : x
  2. Step 2: Convert to fraction form
    9,374.34/14,052.18 = 5,216.24/x
  3. Step 3: Cross multiply
    9,374.34x = 14,052.18 × 5,216.24
  4. Step 4: Simplify right side
    9,374.34x = 73,299,543.40
  5. Step 5: Solve for x
    x = 73,299,543.40/9,374.34
  6. Step 6: Final answer
    x = 7,819.17

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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.