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Finding the Fourth Proportional to 9,952.64, 14,929.32 and 3,379.52

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Solution

The fourth proportional to 9,952.64, 14,929.32 and 3,379.52 is: 5,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.64 : 14,929.32 = 3,379.52 : x
  2. Step 2: Convert to fraction form
    9,952.64/14,929.32 = 3,379.52/x
  3. Step 3: Cross multiply
    9,952.64x = 14,929.32 × 3,379.52
  4. Step 4: Simplify right side
    9,952.64x = 50,453,935.53
  5. Step 5: Solve for x
    x = 50,453,935.53/9,952.64
  6. Step 6: Final answer
    x = 5,069.40

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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.