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Finding the Fourth Proportional to 9,362.64, 14,043.96 and 2,788.65

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Solution

The fourth proportional to 9,362.64, 14,043.96 and 2,788.65 is: 4,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.64 : 14,043.96 = 2,788.65 : x
  2. Step 2: Convert to fraction form
    9,362.64/14,043.96 = 2,788.65/x
  3. Step 3: Cross multiply
    9,362.64x = 14,043.96 × 2,788.65
  4. Step 4: Simplify right side
    9,362.64x = 39,163,720.71
  5. Step 5: Solve for x
    x = 39,163,720.71/9,362.64
  6. Step 6: Final answer
    x = 4,182.98

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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.