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Finding the Fourth Proportional to 9,684.35, 13,366.25 and 6,330.05

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Solution

The fourth proportional to 9,684.35, 13,366.25 and 6,330.05 is: 8,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.35 : 13,366.25 = 6,330.05 : x
  2. Step 2: Convert to fraction form
    9,684.35/13,366.25 = 6,330.05/x
  3. Step 3: Cross multiply
    9,684.35x = 13,366.25 × 6,330.05
  4. Step 4: Simplify right side
    9,684.35x = 84,609,030.81
  5. Step 5: Solve for x
    x = 84,609,030.81/9,684.35
  6. Step 6: Final answer
    x = 8,736.68

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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.