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Finding the Fourth Proportional to 6,804.17, 9,390.79 and 4,153.12

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Solution

The fourth proportional to 6,804.17, 9,390.79 and 4,153.12 is: 5,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.17 : 9,390.79 = 4,153.12 : x
  2. Step 2: Convert to fraction form
    6,804.17/9,390.79 = 4,153.12/x
  3. Step 3: Cross multiply
    6,804.17x = 9,390.79 × 4,153.12
  4. Step 4: Simplify right side
    6,804.17x = 39,001,088.94
  5. Step 5: Solve for x
    x = 39,001,088.94/6,804.17
  6. Step 6: Final answer
    x = 5,731.94

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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.