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Finding the Fourth Proportional to 9,557.70, 14,331 and 3,707.48

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Solution

The fourth proportional to 9,557.70, 14,331 and 3,707.48 is: 5,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.70 : 14,331 = 3,707.48 : x
  2. Step 2: Convert to fraction form
    9,557.70/14,331 = 3,707.48/x
  3. Step 3: Cross multiply
    9,557.70x = 14,331 × 3,707.48
  4. Step 4: Simplify right side
    9,557.70x = 53,131,895.88
  5. Step 5: Solve for x
    x = 53,131,895.88/9,557.70
  6. Step 6: Final answer
    x = 5,559.07

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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.