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Finding the Fourth Proportional to 9,807.09, 14,702.13 and 4,260.66

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Solution

The fourth proportional to 9,807.09, 14,702.13 and 4,260.66 is: 6,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.09 : 14,702.13 = 4,260.66 : x
  2. Step 2: Convert to fraction form
    9,807.09/14,702.13 = 4,260.66/x
  3. Step 3: Cross multiply
    9,807.09x = 14,702.13 × 4,260.66
  4. Step 4: Simplify right side
    9,807.09x = 62,640,777.21
  5. Step 5: Solve for x
    x = 62,640,777.21/9,807.09
  6. Step 6: Final answer
    x = 6,387.30

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Why These Related Problems?

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