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Finding the Fourth Proportional to 7,064.46, 9,749.00 and 4,413.41

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Solution

The fourth proportional to 7,064.46, 9,749.00 and 4,413.41 is: 6,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.46 : 9,749.00 = 4,413.41 : x
  2. Step 2: Convert to fraction form
    7,064.46/9,749.00 = 4,413.41/x
  3. Step 3: Cross multiply
    7,064.46x = 9,749.00 × 4,413.41
  4. Step 4: Simplify right side
    7,064.46x = 43,026,299.84
  5. Step 5: Solve for x
    x = 43,026,299.84/7,064.46
  6. Step 6: Final answer
    x = 6,090.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.