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Finding the Fourth Proportional to 6,117.61, 8,442.01 and 3,428.50

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Solution

The fourth proportional to 6,117.61, 8,442.01 and 3,428.50 is: 4,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.61 : 8,442.01 = 3,428.50 : x
  2. Step 2: Convert to fraction form
    6,117.61/8,442.01 = 3,428.50/x
  3. Step 3: Cross multiply
    6,117.61x = 8,442.01 × 3,428.50
  4. Step 4: Simplify right side
    6,117.61x = 28,943,414.47
  5. Step 5: Solve for x
    x = 28,943,414.47/6,117.61
  6. Step 6: Final answer
    x = 4,731.17

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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.