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Finding the Fourth Proportional to 6,849.02, 9,456.27 and 4,495.16

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Solution

The fourth proportional to 6,849.02, 9,456.27 and 4,495.16 is: 6,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.02 : 9,456.27 = 4,495.16 : x
  2. Step 2: Convert to fraction form
    6,849.02/9,456.27 = 4,495.16/x
  3. Step 3: Cross multiply
    6,849.02x = 9,456.27 × 4,495.16
  4. Step 4: Simplify right side
    6,849.02x = 42,507,446.65
  5. Step 5: Solve for x
    x = 42,507,446.65/6,849.02
  6. Step 6: Final answer
    x = 6,206.35

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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.