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Finding the Fourth Proportional to 9,802.42, 13,522.32 and 6,261.90

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Solution

The fourth proportional to 9,802.42, 13,522.32 and 6,261.90 is: 8,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.42 : 13,522.32 = 6,261.90 : x
  2. Step 2: Convert to fraction form
    9,802.42/13,522.32 = 6,261.90/x
  3. Step 3: Cross multiply
    9,802.42x = 13,522.32 × 6,261.90
  4. Step 4: Simplify right side
    9,802.42x = 84,675,415.61
  5. Step 5: Solve for x
    x = 84,675,415.61/9,802.42
  6. Step 6: Final answer
    x = 8,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.