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Finding the Fourth Proportional to 9,849.97, 13,597.32 and 5,872.47

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Solution

The fourth proportional to 9,849.97, 13,597.32 and 5,872.47 is: 8,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.97 : 13,597.32 = 5,872.47 : x
  2. Step 2: Convert to fraction form
    9,849.97/13,597.32 = 5,872.47/x
  3. Step 3: Cross multiply
    9,849.97x = 13,597.32 × 5,872.47
  4. Step 4: Simplify right side
    9,849.97x = 79,849,824.81
  5. Step 5: Solve for x
    x = 79,849,824.81/9,849.97
  6. Step 6: Final answer
    x = 8,106.60

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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.