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Finding the Fourth Proportional to 9,883.18, 13,615.70 and 6,893.68

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Solution

The fourth proportional to 9,883.18, 13,615.70 and 6,893.68 is: 9,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.18 : 13,615.70 = 6,893.68 : x
  2. Step 2: Convert to fraction form
    9,883.18/13,615.70 = 6,893.68/x
  3. Step 3: Cross multiply
    9,883.18x = 13,615.70 × 6,893.68
  4. Step 4: Simplify right side
    9,883.18x = 93,862,244.31
  5. Step 5: Solve for x
    x = 93,862,244.31/9,883.18
  6. Step 6: Final answer
    x = 9,497.17

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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.