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Finding the Fourth Proportional to 9,872.04, 13,625.06 and 5,679.40

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Solution

The fourth proportional to 9,872.04, 13,625.06 and 5,679.40 is: 7,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.04 : 13,625.06 = 5,679.40 : x
  2. Step 2: Convert to fraction form
    9,872.04/13,625.06 = 5,679.40/x
  3. Step 3: Cross multiply
    9,872.04x = 13,625.06 × 5,679.40
  4. Step 4: Simplify right side
    9,872.04x = 77,382,165.76
  5. Step 5: Solve for x
    x = 77,382,165.76/9,872.04
  6. Step 6: Final answer
    x = 7,838.52

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