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Finding the Fourth Proportional to 7,071.15, 9,754.02 and 4,413.94

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Solution

The fourth proportional to 7,071.15, 9,754.02 and 4,413.94 is: 6,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.15 : 9,754.02 = 4,413.94 : x
  2. Step 2: Convert to fraction form
    7,071.15/9,754.02 = 4,413.94/x
  3. Step 3: Cross multiply
    7,071.15x = 9,754.02 × 4,413.94
  4. Step 4: Simplify right side
    7,071.15x = 43,053,689.52
  5. Step 5: Solve for x
    x = 43,053,689.52/7,071.15
  6. Step 6: Final answer
    x = 6,088.64

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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.