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Finding the Fourth Proportional to 9,578.44, 14,356.03 and 5,125.15

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Solution

The fourth proportional to 9,578.44, 14,356.03 and 5,125.15 is: 7,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.44 : 14,356.03 = 5,125.15 : x
  2. Step 2: Convert to fraction form
    9,578.44/14,356.03 = 5,125.15/x
  3. Step 3: Cross multiply
    9,578.44x = 14,356.03 × 5,125.15
  4. Step 4: Simplify right side
    9,578.44x = 73,576,807.15
  5. Step 5: Solve for x
    x = 73,576,807.15/9,578.44
  6. Step 6: Final answer
    x = 7,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.