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Finding the Fourth Proportional to 9,673.63, 13,349.61 and 5,424.77

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Solution

The fourth proportional to 9,673.63, 13,349.61 and 5,424.77 is: 7,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.63 : 13,349.61 = 5,424.77 : x
  2. Step 2: Convert to fraction form
    9,673.63/13,349.61 = 5,424.77/x
  3. Step 3: Cross multiply
    9,673.63x = 13,349.61 × 5,424.77
  4. Step 4: Simplify right side
    9,673.63x = 72,418,597.21
  5. Step 5: Solve for x
    x = 72,418,597.21/9,673.63
  6. Step 6: Final answer
    x = 7,486.19

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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.