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Finding the Fourth Proportional to 6,461.82, 8,913.12 and 4,444.29

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Solution

The fourth proportional to 6,461.82, 8,913.12 and 4,444.29 is: 6,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.82 : 8,913.12 = 4,444.29 : x
  2. Step 2: Convert to fraction form
    6,461.82/8,913.12 = 4,444.29/x
  3. Step 3: Cross multiply
    6,461.82x = 8,913.12 × 4,444.29
  4. Step 4: Simplify right side
    6,461.82x = 39,612,490.08
  5. Step 5: Solve for x
    x = 39,612,490.08/6,461.82
  6. Step 6: Final answer
    x = 6,130.24

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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.