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Finding the Fourth Proportional to 9,732.17, 13,429.63 and 5,483

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Solution

The fourth proportional to 9,732.17, 13,429.63 and 5,483 is: 7,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.17 : 13,429.63 = 5,483 : x
  2. Step 2: Convert to fraction form
    9,732.17/13,429.63 = 5,483/x
  3. Step 3: Cross multiply
    9,732.17x = 13,429.63 × 5,483
  4. Step 4: Simplify right side
    9,732.17x = 73,634,661.29
  5. Step 5: Solve for x
    x = 73,634,661.29/9,732.17
  6. Step 6: Final answer
    x = 7,566.11

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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.