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Finding the Fourth Proportional to 9,883.98, 13,633.47 and 6,341.58

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Solution

The fourth proportional to 9,883.98, 13,633.47 and 6,341.58 is: 8,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.98 : 13,633.47 = 6,341.58 : x
  2. Step 2: Convert to fraction form
    9,883.98/13,633.47 = 6,341.58/x
  3. Step 3: Cross multiply
    9,883.98x = 13,633.47 × 6,341.58
  4. Step 4: Simplify right side
    9,883.98x = 86,457,740.68
  5. Step 5: Solve for x
    x = 86,457,740.68/9,883.98
  6. Step 6: Final answer
    x = 8,747.26

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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.