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Finding the Fourth Proportional to 6,445.82, 8,913.12 and 5,117.20

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Solution

The fourth proportional to 6,445.82, 8,913.12 and 5,117.20 is: 7,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.82 : 8,913.12 = 5,117.20 : x
  2. Step 2: Convert to fraction form
    6,445.82/8,913.12 = 5,117.20/x
  3. Step 3: Cross multiply
    6,445.82x = 8,913.12 × 5,117.20
  4. Step 4: Simplify right side
    6,445.82x = 45,610,217.66
  5. Step 5: Solve for x
    x = 45,610,217.66/6,445.82
  6. Step 6: Final answer
    x = 7,075.94

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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.