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Finding the Fourth Proportional to 9,497.44, 14,249.28 and 5,602.88

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Solution

The fourth proportional to 9,497.44, 14,249.28 and 5,602.88 is: 8,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.44 : 14,249.28 = 5,602.88 : x
  2. Step 2: Convert to fraction form
    9,497.44/14,249.28 = 5,602.88/x
  3. Step 3: Cross multiply
    9,497.44x = 14,249.28 × 5,602.88
  4. Step 4: Simplify right side
    9,497.44x = 79,837,005.93
  5. Step 5: Solve for x
    x = 79,837,005.93/9,497.44
  6. Step 6: Final answer
    x = 8,406.16

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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.