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Finding the Fourth Proportional to 9,598.13, 13,218.94 and 8,271.35

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Solution

The fourth proportional to 9,598.13, 13,218.94 and 8,271.35 is: 11,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.13 : 13,218.94 = 8,271.35 : x
  2. Step 2: Convert to fraction form
    9,598.13/13,218.94 = 8,271.35/x
  3. Step 3: Cross multiply
    9,598.13x = 13,218.94 × 8,271.35
  4. Step 4: Simplify right side
    9,598.13x = 109,338,479.37
  5. Step 5: Solve for x
    x = 109,338,479.37/9,598.13
  6. Step 6: Final answer
    x = 11,391.64

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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.