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Finding the Fourth Proportional to 9,732.37, 13,429.86 and 5,482.08

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Solution

The fourth proportional to 9,732.37, 13,429.86 and 5,482.08 is: 7,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.37 : 13,429.86 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    9,732.37/13,429.86 = 5,482.08/x
  3. Step 3: Cross multiply
    9,732.37x = 13,429.86 × 5,482.08
  4. Step 4: Simplify right side
    9,732.37x = 73,623,513.46
  5. Step 5: Solve for x
    x = 73,623,513.46/9,732.37
  6. Step 6: Final answer
    x = 7,564.81

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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.