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Finding the Fourth Proportional to 6,117.93, 8,442.94 and 3,465.28

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Solution

The fourth proportional to 6,117.93, 8,442.94 and 3,465.28 is: 4,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.93 : 8,442.94 = 3,465.28 : x
  2. Step 2: Convert to fraction form
    6,117.93/8,442.94 = 3,465.28/x
  3. Step 3: Cross multiply
    6,117.93x = 8,442.94 × 3,465.28
  4. Step 4: Simplify right side
    6,117.93x = 29,257,151.12
  5. Step 5: Solve for x
    x = 29,257,151.12/6,117.93
  6. Step 6: Final answer
    x = 4,782.20

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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.