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Finding the Fourth Proportional to 9,362.50, 14,047.85 and 4,435.66

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Solution

The fourth proportional to 9,362.50, 14,047.85 and 4,435.66 is: 6,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.50 : 14,047.85 = 4,435.66 : x
  2. Step 2: Convert to fraction form
    9,362.50/14,047.85 = 4,435.66/x
  3. Step 3: Cross multiply
    9,362.50x = 14,047.85 × 4,435.66
  4. Step 4: Simplify right side
    9,362.50x = 62,311,486.33
  5. Step 5: Solve for x
    x = 62,311,486.33/9,362.50
  6. Step 6: Final answer
    x = 6,655.43

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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.