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Finding the Fourth Proportional to 9,785.50, 14,675.17 and 3,210.16

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Solution

The fourth proportional to 9,785.50, 14,675.17 and 3,210.16 is: 4,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.50 : 14,675.17 = 3,210.16 : x
  2. Step 2: Convert to fraction form
    9,785.50/14,675.17 = 3,210.16/x
  3. Step 3: Cross multiply
    9,785.50x = 14,675.17 × 3,210.16
  4. Step 4: Simplify right side
    9,785.50x = 47,109,643.73
  5. Step 5: Solve for x
    x = 47,109,643.73/9,785.50
  6. Step 6: Final answer
    x = 4,814.23

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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.