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Finding the Fourth Proportional to 9,714.30, 14,571.75 and 3,140.55

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Solution

The fourth proportional to 9,714.30, 14,571.75 and 3,140.55 is: 4,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.30 : 14,571.75 = 3,140.55 : x
  2. Step 2: Convert to fraction form
    9,714.30/14,571.75 = 3,140.55/x
  3. Step 3: Cross multiply
    9,714.30x = 14,571.75 × 3,140.55
  4. Step 4: Simplify right side
    9,714.30x = 45,763,309.46
  5. Step 5: Solve for x
    x = 45,763,309.46/9,714.30
  6. Step 6: Final answer
    x = 4,710.92

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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.