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Finding the Fourth Proportional to 6,476.01, 9,712.56 and 2,527.36

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Solution

The fourth proportional to 6,476.01, 9,712.56 and 2,527.36 is: 3,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.01 : 9,712.56 = 2,527.36 : x
  2. Step 2: Convert to fraction form
    6,476.01/9,712.56 = 2,527.36/x
  3. Step 3: Cross multiply
    6,476.01x = 9,712.56 × 2,527.36
  4. Step 4: Simplify right side
    6,476.01x = 24,547,135.64
  5. Step 5: Solve for x
    x = 24,547,135.64/6,476.01
  6. Step 6: Final answer
    x = 3,790.47

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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.