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Finding the Fourth Proportional to 9,655.16, 14,474.52 and 3,815.87

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Solution

The fourth proportional to 9,655.16, 14,474.52 and 3,815.87 is: 5,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.16 : 14,474.52 = 3,815.87 : x
  2. Step 2: Convert to fraction form
    9,655.16/14,474.52 = 3,815.87/x
  3. Step 3: Cross multiply
    9,655.16x = 14,474.52 × 3,815.87
  4. Step 4: Simplify right side
    9,655.16x = 55,232,814.26
  5. Step 5: Solve for x
    x = 55,232,814.26/9,655.16
  6. Step 6: Final answer
    x = 5,720.55

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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.