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Finding the Fourth Proportional to 9,653.81, 13,322.13 and 5,404.79

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Solution

The fourth proportional to 9,653.81, 13,322.13 and 5,404.79 is: 7,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.81 : 13,322.13 = 5,404.79 : x
  2. Step 2: Convert to fraction form
    9,653.81/13,322.13 = 5,404.79/x
  3. Step 3: Cross multiply
    9,653.81x = 13,322.13 × 5,404.79
  4. Step 4: Simplify right side
    9,653.81x = 72,003,248.39
  5. Step 5: Solve for x
    x = 72,003,248.39/9,653.81
  6. Step 6: Final answer
    x = 7,458.54

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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.