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Finding the Fourth Proportional to 6,503.68, 9,755.40 and 1,886.68

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Solution

The fourth proportional to 6,503.68, 9,755.40 and 1,886.68 is: 2,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.68 : 9,755.40 = 1,886.68 : x
  2. Step 2: Convert to fraction form
    6,503.68/9,755.40 = 1,886.68/x
  3. Step 3: Cross multiply
    6,503.68x = 9,755.40 × 1,886.68
  4. Step 4: Simplify right side
    6,503.68x = 18,405,318.07
  5. Step 5: Solve for x
    x = 18,405,318.07/6,503.68
  6. Step 6: Final answer
    x = 2,829.99

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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.