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Finding the Fourth Proportional to 9,702.72, 14,554.24 and 2,777.28

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Solution

The fourth proportional to 9,702.72, 14,554.24 and 2,777.28 is: 4,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.72 : 14,554.24 = 2,777.28 : x
  2. Step 2: Convert to fraction form
    9,702.72/14,554.24 = 2,777.28/x
  3. Step 3: Cross multiply
    9,702.72x = 14,554.24 × 2,777.28
  4. Step 4: Simplify right side
    9,702.72x = 40,421,199.67
  5. Step 5: Solve for x
    x = 40,421,199.67/9,702.72
  6. Step 6: Final answer
    x = 4,165.97

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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.