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Finding the Fourth Proportional to 9,852.75, 13,599.08 and 6,496.17

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Solution

The fourth proportional to 9,852.75, 13,599.08 and 6,496.17 is: 8,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.75 : 13,599.08 = 6,496.17 : x
  2. Step 2: Convert to fraction form
    9,852.75/13,599.08 = 6,496.17/x
  3. Step 3: Cross multiply
    9,852.75x = 13,599.08 × 6,496.17
  4. Step 4: Simplify right side
    9,852.75x = 88,341,903.04
  5. Step 5: Solve for x
    x = 88,341,903.04/9,852.75
  6. Step 6: Final answer
    x = 8,966.22

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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.