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Finding the Fourth Proportional to 6,456.72, 9,686.40 and 2,074.08

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Solution

The fourth proportional to 6,456.72, 9,686.40 and 2,074.08 is: 3,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.72 : 9,686.40 = 2,074.08 : x
  2. Step 2: Convert to fraction form
    6,456.72/9,686.40 = 2,074.08/x
  3. Step 3: Cross multiply
    6,456.72x = 9,686.40 × 2,074.08
  4. Step 4: Simplify right side
    6,456.72x = 20,090,368.51
  5. Step 5: Solve for x
    x = 20,090,368.51/6,456.72
  6. Step 6: Final answer
    x = 3,111.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.