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Finding the Fourth Proportional to 9,646.67, 14,456.16 and 5,477.87

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Solution

The fourth proportional to 9,646.67, 14,456.16 and 5,477.87 is: 8,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.67 : 14,456.16 = 5,477.87 : x
  2. Step 2: Convert to fraction form
    9,646.67/14,456.16 = 5,477.87/x
  3. Step 3: Cross multiply
    9,646.67x = 14,456.16 × 5,477.87
  4. Step 4: Simplify right side
    9,646.67x = 79,189,001.32
  5. Step 5: Solve for x
    x = 79,189,001.32/9,646.67
  6. Step 6: Final answer
    x = 8,208.94

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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.