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Finding the Fourth Proportional to 9,713.44, 14,570.04 and 3,139.48

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Solution

The fourth proportional to 9,713.44, 14,570.04 and 3,139.48 is: 4,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.44 : 14,570.04 = 3,139.48 : x
  2. Step 2: Convert to fraction form
    9,713.44/14,570.04 = 3,139.48/x
  3. Step 3: Cross multiply
    9,713.44x = 14,570.04 × 3,139.48
  4. Step 4: Simplify right side
    9,713.44x = 45,742,349.18
  5. Step 5: Solve for x
    x = 45,742,349.18/9,713.44
  6. Step 6: Final answer
    x = 4,709.18

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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.