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Finding the Fourth Proportional to 9,597.48, 14,398.56 and 4,047.84

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Solution

The fourth proportional to 9,597.48, 14,398.56 and 4,047.84 is: 6,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.48 : 14,398.56 = 4,047.84 : x
  2. Step 2: Convert to fraction form
    9,597.48/14,398.56 = 4,047.84/x
  3. Step 3: Cross multiply
    9,597.48x = 14,398.56 × 4,047.84
  4. Step 4: Simplify right side
    9,597.48x = 58,283,067.11
  5. Step 5: Solve for x
    x = 58,283,067.11/9,597.48
  6. Step 6: Final answer
    x = 6,072.75

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