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Finding the Fourth Proportional to 9,913.02, 13,678.59 and 5,933.22

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Solution

The fourth proportional to 9,913.02, 13,678.59 and 5,933.22 is: 8,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.02 : 13,678.59 = 5,933.22 : x
  2. Step 2: Convert to fraction form
    9,913.02/13,678.59 = 5,933.22/x
  3. Step 3: Cross multiply
    9,913.02x = 13,678.59 × 5,933.22
  4. Step 4: Simplify right side
    9,913.02x = 81,158,083.76
  5. Step 5: Solve for x
    x = 81,158,083.76/9,913.02
  6. Step 6: Final answer
    x = 8,187.02

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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.