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Finding the Fourth Proportional to 8,693.84, 13,053.72 and 6,101.84

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Solution

The fourth proportional to 8,693.84, 13,053.72 and 6,101.84 is: 9,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.84 : 13,053.72 = 6,101.84 : x
  2. Step 2: Convert to fraction form
    8,693.84/13,053.72 = 6,101.84/x
  3. Step 3: Cross multiply
    8,693.84x = 13,053.72 × 6,101.84
  4. Step 4: Simplify right side
    8,693.84x = 79,651,710.84
  5. Step 5: Solve for x
    x = 79,651,710.84/8,693.84
  6. Step 6: Final answer
    x = 9,161.86

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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.