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Finding the Fourth Proportional to 9,835, 14,762.22 and 5,218

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Solution

The fourth proportional to 9,835, 14,762.22 and 5,218 is: 7,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835 : 14,762.22 = 5,218 : x
  2. Step 2: Convert to fraction form
    9,835/14,762.22 = 5,218/x
  3. Step 3: Cross multiply
    9,835x = 14,762.22 × 5,218
  4. Step 4: Simplify right side
    9,835x = 77,029,263.96
  5. Step 5: Solve for x
    x = 77,029,263.96/9,835
  6. Step 6: Final answer
    x = 7,832.16

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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.