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Finding the Fourth Proportional to 6,448.09, 8,897.83 and 3,614.80

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Solution

The fourth proportional to 6,448.09, 8,897.83 and 3,614.80 is: 4,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.09 : 8,897.83 = 3,614.80 : x
  2. Step 2: Convert to fraction form
    6,448.09/8,897.83 = 3,614.80/x
  3. Step 3: Cross multiply
    6,448.09x = 8,897.83 × 3,614.80
  4. Step 4: Simplify right side
    6,448.09x = 32,163,875.88
  5. Step 5: Solve for x
    x = 32,163,875.88/6,448.09
  6. Step 6: Final answer
    x = 4,988.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.