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Finding the Fourth Proportional to 9,702.50, 13,389.50 and 5,669.57

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Solution

The fourth proportional to 9,702.50, 13,389.50 and 5,669.57 is: 7,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.50 : 13,389.50 = 5,669.57 : x
  2. Step 2: Convert to fraction form
    9,702.50/13,389.50 = 5,669.57/x
  3. Step 3: Cross multiply
    9,702.50x = 13,389.50 × 5,669.57
  4. Step 4: Simplify right side
    9,702.50x = 75,912,654.74
  5. Step 5: Solve for x
    x = 75,912,654.74/9,702.50
  6. Step 6: Final answer
    x = 7,824.03

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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.