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Finding the Fourth Proportional to 9,503.32, 14,257.31 and 6,697.63

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Solution

The fourth proportional to 9,503.32, 14,257.31 and 6,697.63 is: 10,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.32 : 14,257.31 = 6,697.63 : x
  2. Step 2: Convert to fraction form
    9,503.32/14,257.31 = 6,697.63/x
  3. Step 3: Cross multiply
    9,503.32x = 14,257.31 × 6,697.63
  4. Step 4: Simplify right side
    9,503.32x = 95,490,187.18
  5. Step 5: Solve for x
    x = 95,490,187.18/9,503.32
  6. Step 6: Final answer
    x = 10,048.09

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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.