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Finding the Fourth Proportional to 9,686.88, 14,538.96 and 4,495.68

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Solution

The fourth proportional to 9,686.88, 14,538.96 and 4,495.68 is: 6,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.88 : 14,538.96 = 4,495.68 : x
  2. Step 2: Convert to fraction form
    9,686.88/14,538.96 = 4,495.68/x
  3. Step 3: Cross multiply
    9,686.88x = 14,538.96 × 4,495.68
  4. Step 4: Simplify right side
    9,686.88x = 65,362,511.69
  5. Step 5: Solve for x
    x = 65,362,511.69/9,686.88
  6. Step 6: Final answer
    x = 6,747.53

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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.