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Finding the Fourth Proportional to 9,862.68, 13,604.54 and 6,504.28

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Solution

The fourth proportional to 9,862.68, 13,604.54 and 6,504.28 is: 8,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.68 : 13,604.54 = 6,504.28 : x
  2. Step 2: Convert to fraction form
    9,862.68/13,604.54 = 6,504.28/x
  3. Step 3: Cross multiply
    9,862.68x = 13,604.54 × 6,504.28
  4. Step 4: Simplify right side
    9,862.68x = 88,487,737.43
  5. Step 5: Solve for x
    x = 88,487,737.43/9,862.68
  6. Step 6: Final answer
    x = 8,971.98

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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.