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Finding the Fourth Proportional to 9,837, 14,765.22 and 5,220

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Solution

The fourth proportional to 9,837, 14,765.22 and 5,220 is: 7,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 14,765.22 = 5,220 : x
  2. Step 2: Convert to fraction form
    9,837/14,765.22 = 5,220/x
  3. Step 3: Cross multiply
    9,837x = 14,765.22 × 5,220
  4. Step 4: Simplify right side
    9,837x = 77,074,448.40
  5. Step 5: Solve for x
    x = 77,074,448.40/9,837
  6. Step 6: Final answer
    x = 7,835.16

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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.