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Finding the Fourth Proportional to 9,578.04, 14,365.98 and 2,652

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Solution

The fourth proportional to 9,578.04, 14,365.98 and 2,652 is: 3,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.04 : 14,365.98 = 2,652 : x
  2. Step 2: Convert to fraction form
    9,578.04/14,365.98 = 2,652/x
  3. Step 3: Cross multiply
    9,578.04x = 14,365.98 × 2,652
  4. Step 4: Simplify right side
    9,578.04x = 38,098,578.96
  5. Step 5: Solve for x
    x = 38,098,578.96/9,578.04
  6. Step 6: Final answer
    x = 3,977.70

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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.