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Finding the Fourth Proportional to 9,983.34, 13,781.44 and 6,448.28

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Solution

The fourth proportional to 9,983.34, 13,781.44 and 6,448.28 is: 8,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.34 : 13,781.44 = 6,448.28 : x
  2. Step 2: Convert to fraction form
    9,983.34/13,781.44 = 6,448.28/x
  3. Step 3: Cross multiply
    9,983.34x = 13,781.44 × 6,448.28
  4. Step 4: Simplify right side
    9,983.34x = 88,866,482.77
  5. Step 5: Solve for x
    x = 88,866,482.77/9,983.34
  6. Step 6: Final answer
    x = 8,901.48

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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.