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Finding the Fourth Proportional to 6,503.32, 9,754.98 and 3,218.72

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Solution

The fourth proportional to 6,503.32, 9,754.98 and 3,218.72 is: 4,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.32 : 9,754.98 = 3,218.72 : x
  2. Step 2: Convert to fraction form
    6,503.32/9,754.98 = 3,218.72/x
  3. Step 3: Cross multiply
    6,503.32x = 9,754.98 × 3,218.72
  4. Step 4: Simplify right side
    6,503.32x = 31,398,561.36
  5. Step 5: Solve for x
    x = 31,398,561.36/6,503.32
  6. Step 6: Final answer
    x = 4,828.08

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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.