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Finding the Fourth Proportional to 9,655.68, 14,484.42 and 4,032.66

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Solution

The fourth proportional to 9,655.68, 14,484.42 and 4,032.66 is: 6,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.68 : 14,484.42 = 4,032.66 : x
  2. Step 2: Convert to fraction form
    9,655.68/14,484.42 = 4,032.66/x
  3. Step 3: Cross multiply
    9,655.68x = 14,484.42 × 4,032.66
  4. Step 4: Simplify right side
    9,655.68x = 58,410,741.16
  5. Step 5: Solve for x
    x = 58,410,741.16/9,655.68
  6. Step 6: Final answer
    x = 6,049.37

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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.