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Finding the Fourth Proportional to 9,365.31, 14,039.22 and 4,922.04

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Solution

The fourth proportional to 9,365.31, 14,039.22 and 4,922.04 is: 7,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.31 : 14,039.22 = 4,922.04 : x
  2. Step 2: Convert to fraction form
    9,365.31/14,039.22 = 4,922.04/x
  3. Step 3: Cross multiply
    9,365.31x = 14,039.22 × 4,922.04
  4. Step 4: Simplify right side
    9,365.31x = 69,101,602.41
  5. Step 5: Solve for x
    x = 69,101,602.41/9,365.31
  6. Step 6: Final answer
    x = 7,378.46

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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.