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Finding the Fourth Proportional to 9,952.68, 13,739.99 and 7,709.52

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Solution

The fourth proportional to 9,952.68, 13,739.99 and 7,709.52 is: 10,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.68 : 13,739.99 = 7,709.52 : x
  2. Step 2: Convert to fraction form
    9,952.68/13,739.99 = 7,709.52/x
  3. Step 3: Cross multiply
    9,952.68x = 13,739.99 × 7,709.52
  4. Step 4: Simplify right side
    9,952.68x = 105,928,689.16
  5. Step 5: Solve for x
    x = 105,928,689.16/9,952.68
  6. Step 6: Final answer
    x = 10,643.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.