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Finding the Fourth Proportional to 9,853.48, 13,598.16 and 5,874.96

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Solution

The fourth proportional to 9,853.48, 13,598.16 and 5,874.96 is: 8,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.48 : 13,598.16 = 5,874.96 : x
  2. Step 2: Convert to fraction form
    9,853.48/13,598.16 = 5,874.96/x
  3. Step 3: Cross multiply
    9,853.48x = 13,598.16 × 5,874.96
  4. Step 4: Simplify right side
    9,853.48x = 79,888,646.07
  5. Step 5: Solve for x
    x = 79,888,646.07/9,853.48
  6. Step 6: Final answer
    x = 8,107.66

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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.