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Finding the Fourth Proportional to 6,476.04, 9,714.06 and 2,580.48

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Solution

The fourth proportional to 6,476.04, 9,714.06 and 2,580.48 is: 3,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.04 : 9,714.06 = 2,580.48 : x
  2. Step 2: Convert to fraction form
    6,476.04/9,714.06 = 2,580.48/x
  3. Step 3: Cross multiply
    6,476.04x = 9,714.06 × 2,580.48
  4. Step 4: Simplify right side
    6,476.04x = 25,066,937.55
  5. Step 5: Solve for x
    x = 25,066,937.55/6,476.04
  6. Step 6: Final answer
    x = 3,870.72

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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.