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Finding the Fourth Proportional to 9,473.92, 14,209.93 and 2,900.16

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Solution

The fourth proportional to 9,473.92, 14,209.93 and 2,900.16 is: 4,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.92 : 14,209.93 = 2,900.16 : x
  2. Step 2: Convert to fraction form
    9,473.92/14,209.93 = 2,900.16/x
  3. Step 3: Cross multiply
    9,473.92x = 14,209.93 × 2,900.16
  4. Step 4: Simplify right side
    9,473.92x = 41,211,074.21
  5. Step 5: Solve for x
    x = 41,211,074.21/9,473.92
  6. Step 6: Final answer
    x = 4,349.95

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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.