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Finding the Fourth Proportional to 6,970.78, 9,622.29 and 4,616.11

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Solution

The fourth proportional to 6,970.78, 9,622.29 and 4,616.11 is: 6,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.78 : 9,622.29 = 4,616.11 : x
  2. Step 2: Convert to fraction form
    6,970.78/9,622.29 = 4,616.11/x
  3. Step 3: Cross multiply
    6,970.78x = 9,622.29 × 4,616.11
  4. Step 4: Simplify right side
    6,970.78x = 44,417,549.09
  5. Step 5: Solve for x
    x = 44,417,549.09/6,970.78
  6. Step 6: Final answer
    x = 6,371.96

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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.