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Finding the Fourth Proportional to 7,244.48, 9,995.75 and 4,413.32

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Solution

The fourth proportional to 7,244.48, 9,995.75 and 4,413.32 is: 6,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.48 : 9,995.75 = 4,413.32 : x
  2. Step 2: Convert to fraction form
    7,244.48/9,995.75 = 4,413.32/x
  3. Step 3: Cross multiply
    7,244.48x = 9,995.75 × 4,413.32
  4. Step 4: Simplify right side
    7,244.48x = 44,114,443.39
  5. Step 5: Solve for x
    x = 44,114,443.39/7,244.48
  6. Step 6: Final answer
    x = 6,089.39

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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.