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Finding the Fourth Proportional to 6,117.84, 8,442.90 and 3,465.18

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Solution

The fourth proportional to 6,117.84, 8,442.90 and 3,465.18 is: 4,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.84 : 8,442.90 = 3,465.18 : x
  2. Step 2: Convert to fraction form
    6,117.84/8,442.90 = 3,465.18/x
  3. Step 3: Cross multiply
    6,117.84x = 8,442.90 × 3,465.18
  4. Step 4: Simplify right side
    6,117.84x = 29,256,168.22
  5. Step 5: Solve for x
    x = 29,256,168.22/6,117.84
  6. Step 6: Final answer
    x = 4,782.11

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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.