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Finding the Fourth Proportional to 9,849.03, 13,597.20 and 6,828.54

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Solution

The fourth proportional to 9,849.03, 13,597.20 and 6,828.54 is: 9,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.03 : 13,597.20 = 6,828.54 : x
  2. Step 2: Convert to fraction form
    9,849.03/13,597.20 = 6,828.54/x
  3. Step 3: Cross multiply
    9,849.03x = 13,597.20 × 6,828.54
  4. Step 4: Simplify right side
    9,849.03x = 92,849,024.09
  5. Step 5: Solve for x
    x = 92,849,024.09/9,849.03
  6. Step 6: Final answer
    x = 9,427.23

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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.