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Finding the Fourth Proportional to 7,039.83, 9,710.73 and 4,649.82

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Solution

The fourth proportional to 7,039.83, 9,710.73 and 4,649.82 is: 6,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.83 : 9,710.73 = 4,649.82 : x
  2. Step 2: Convert to fraction form
    7,039.83/9,710.73 = 4,649.82/x
  3. Step 3: Cross multiply
    7,039.83x = 9,710.73 × 4,649.82
  4. Step 4: Simplify right side
    7,039.83x = 45,153,146.57
  5. Step 5: Solve for x
    x = 45,153,146.57/7,039.83
  6. Step 6: Final answer
    x = 6,413.95

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