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Finding the Fourth Proportional to 9,684.68, 13,355.70 and 6,505.16

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Solution

The fourth proportional to 9,684.68, 13,355.70 and 6,505.16 is: 8,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.68 : 13,355.70 = 6,505.16 : x
  2. Step 2: Convert to fraction form
    9,684.68/13,355.70 = 6,505.16/x
  3. Step 3: Cross multiply
    9,684.68x = 13,355.70 × 6,505.16
  4. Step 4: Simplify right side
    9,684.68x = 86,880,965.41
  5. Step 5: Solve for x
    x = 86,880,965.41/9,684.68
  6. Step 6: Final answer
    x = 8,970.97

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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.