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Finding the Fourth Proportional to 9,713.70, 14,574.60 and 3,141.90

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Solution

The fourth proportional to 9,713.70, 14,574.60 and 3,141.90 is: 4,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.70 : 14,574.60 = 3,141.90 : x
  2. Step 2: Convert to fraction form
    9,713.70/14,574.60 = 3,141.90/x
  3. Step 3: Cross multiply
    9,713.70x = 14,574.60 × 3,141.90
  4. Step 4: Simplify right side
    9,713.70x = 45,791,935.74
  5. Step 5: Solve for x
    x = 45,791,935.74/9,713.70
  6. Step 6: Final answer
    x = 4,714.16

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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.