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Finding the Fourth Proportional to 9,807.24, 14,702.57 and 4,256.39

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Solution

The fourth proportional to 9,807.24, 14,702.57 and 4,256.39 is: 6,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.24 : 14,702.57 = 4,256.39 : x
  2. Step 2: Convert to fraction form
    9,807.24/14,702.57 = 4,256.39/x
  3. Step 3: Cross multiply
    9,807.24x = 14,702.57 × 4,256.39
  4. Step 4: Simplify right side
    9,807.24x = 62,579,777.13
  5. Step 5: Solve for x
    x = 62,579,777.13/9,807.24
  6. Step 6: Final answer
    x = 6,380.98

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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.