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Finding the Fourth Proportional to 9,802.16, 14,702.09 and 2,782.79

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Solution

The fourth proportional to 9,802.16, 14,702.09 and 2,782.79 is: 4,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.16 : 14,702.09 = 2,782.79 : x
  2. Step 2: Convert to fraction form
    9,802.16/14,702.09 = 2,782.79/x
  3. Step 3: Cross multiply
    9,802.16x = 14,702.09 × 2,782.79
  4. Step 4: Simplify right side
    9,802.16x = 40,912,741.61
  5. Step 5: Solve for x
    x = 40,912,741.61/9,802.16
  6. Step 6: Final answer
    x = 4,173.85

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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.