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Finding the Fourth Proportional to 6,417.64, 8,855.14 and 4,058.12

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Solution

The fourth proportional to 6,417.64, 8,855.14 and 4,058.12 is: 5,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.64 : 8,855.14 = 4,058.12 : x
  2. Step 2: Convert to fraction form
    6,417.64/8,855.14 = 4,058.12/x
  3. Step 3: Cross multiply
    6,417.64x = 8,855.14 × 4,058.12
  4. Step 4: Simplify right side
    6,417.64x = 35,935,220.74
  5. Step 5: Solve for x
    x = 35,935,220.74/6,417.64
  6. Step 6: Final answer
    x = 5,599.44

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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.