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Finding the Fourth Proportional to 6,970.88, 9,618.54 and 4,137.08

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Solution

The fourth proportional to 6,970.88, 9,618.54 and 4,137.08 is: 5,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.88 : 9,618.54 = 4,137.08 : x
  2. Step 2: Convert to fraction form
    6,970.88/9,618.54 = 4,137.08/x
  3. Step 3: Cross multiply
    6,970.88x = 9,618.54 × 4,137.08
  4. Step 4: Simplify right side
    6,970.88x = 39,792,669.46
  5. Step 5: Solve for x
    x = 39,792,669.46/6,970.88
  6. Step 6: Final answer
    x = 5,708.41

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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.