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Finding the Fourth Proportional to 6,095.69, 8,409.14 and 3,970.45

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Solution

The fourth proportional to 6,095.69, 8,409.14 and 3,970.45 is: 5,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.69 : 8,409.14 = 3,970.45 : x
  2. Step 2: Convert to fraction form
    6,095.69/8,409.14 = 3,970.45/x
  3. Step 3: Cross multiply
    6,095.69x = 8,409.14 × 3,970.45
  4. Step 4: Simplify right side
    6,095.69x = 33,388,058.82
  5. Step 5: Solve for x
    x = 33,388,058.82/6,095.69
  6. Step 6: Final answer
    x = 5,477.33

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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.