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Finding the Fourth Proportional to 6,381.69, 9,574.06 and 3,090.93

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Solution

The fourth proportional to 6,381.69, 9,574.06 and 3,090.93 is: 4,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.69 : 9,574.06 = 3,090.93 : x
  2. Step 2: Convert to fraction form
    6,381.69/9,574.06 = 3,090.93/x
  3. Step 3: Cross multiply
    6,381.69x = 9,574.06 × 3,090.93
  4. Step 4: Simplify right side
    6,381.69x = 29,592,749.28
  5. Step 5: Solve for x
    x = 29,592,749.28/6,381.69
  6. Step 6: Final answer
    x = 4,637.13

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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.