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Finding the Fourth Proportional to 6,095.52, 8,414.28 and 4,603.77

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Solution

The fourth proportional to 6,095.52, 8,414.28 and 4,603.77 is: 6,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.52 : 8,414.28 = 4,603.77 : x
  2. Step 2: Convert to fraction form
    6,095.52/8,414.28 = 4,603.77/x
  3. Step 3: Cross multiply
    6,095.52x = 8,414.28 × 4,603.77
  4. Step 4: Simplify right side
    6,095.52x = 38,737,409.84
  5. Step 5: Solve for x
    x = 38,737,409.84/6,095.52
  6. Step 6: Final answer
    x = 6,355.06

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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.