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Finding the Fourth Proportional to 9,535.87, 14,298 and 4,269.88

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Solution

The fourth proportional to 9,535.87, 14,298 and 4,269.88 is: 6,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.87 : 14,298 = 4,269.88 : x
  2. Step 2: Convert to fraction form
    9,535.87/14,298 = 4,269.88/x
  3. Step 3: Cross multiply
    9,535.87x = 14,298 × 4,269.88
  4. Step 4: Simplify right side
    9,535.87x = 61,050,744.24
  5. Step 5: Solve for x
    x = 61,050,744.24/9,535.87
  6. Step 6: Final answer
    x = 6,402.22

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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.