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Finding the Fourth Proportional to 9,702.92, 14,555.82 and 4,771.88

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Solution

The fourth proportional to 9,702.92, 14,555.82 and 4,771.88 is: 7,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.92 : 14,555.82 = 4,771.88 : x
  2. Step 2: Convert to fraction form
    9,702.92/14,555.82 = 4,771.88/x
  3. Step 3: Cross multiply
    9,702.92x = 14,555.82 × 4,771.88
  4. Step 4: Simplify right side
    9,702.92x = 69,458,626.34
  5. Step 5: Solve for x
    x = 69,458,626.34/9,702.92
  6. Step 6: Final answer
    x = 7,158.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.