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Finding the Fourth Proportional to 9,853.47, 13,596.68 and 5,663.07

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Solution

The fourth proportional to 9,853.47, 13,596.68 and 5,663.07 is: 7,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.47 : 13,596.68 = 5,663.07 : x
  2. Step 2: Convert to fraction form
    9,853.47/13,596.68 = 5,663.07/x
  3. Step 3: Cross multiply
    9,853.47x = 13,596.68 × 5,663.07
  4. Step 4: Simplify right side
    9,853.47x = 76,998,922.29
  5. Step 5: Solve for x
    x = 76,998,922.29/9,853.47
  6. Step 6: Final answer
    x = 7,814.40

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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.