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Finding the Fourth Proportional to 8,329.23, 11,484.59 and 6,914.57

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Solution

The fourth proportional to 8,329.23, 11,484.59 and 6,914.57 is: 9,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.23 : 11,484.59 = 6,914.57 : x
  2. Step 2: Convert to fraction form
    8,329.23/11,484.59 = 6,914.57/x
  3. Step 3: Cross multiply
    8,329.23x = 11,484.59 × 6,914.57
  4. Step 4: Simplify right side
    8,329.23x = 79,410,909.48
  5. Step 5: Solve for x
    x = 79,410,909.48/8,329.23
  6. Step 6: Final answer
    x = 9,534.00

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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.