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Finding the Fourth Proportional to 9,655.64, 14,475.26 and 3,816.36

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Solution

The fourth proportional to 9,655.64, 14,475.26 and 3,816.36 is: 5,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.64 : 14,475.26 = 3,816.36 : x
  2. Step 2: Convert to fraction form
    9,655.64/14,475.26 = 3,816.36/x
  3. Step 3: Cross multiply
    9,655.64x = 14,475.26 × 3,816.36
  4. Step 4: Simplify right side
    9,655.64x = 55,242,803.25
  5. Step 5: Solve for x
    x = 55,242,803.25/9,655.64
  6. Step 6: Final answer
    x = 5,721.30

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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.