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Finding the Fourth Proportional to 6,476.02, 9,714.06 and 2,580.46

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Solution

The fourth proportional to 6,476.02, 9,714.06 and 2,580.46 is: 3,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.02 : 9,714.06 = 2,580.46 : x
  2. Step 2: Convert to fraction form
    6,476.02/9,714.06 = 2,580.46/x
  3. Step 3: Cross multiply
    6,476.02x = 9,714.06 × 2,580.46
  4. Step 4: Simplify right side
    6,476.02x = 25,066,743.27
  5. Step 5: Solve for x
    x = 25,066,743.27/6,476.02
  6. Step 6: Final answer
    x = 3,870.70

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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.