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Finding the Fourth Proportional to 6,860.46, 9,465.75 and 4,737.87

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Solution

The fourth proportional to 6,860.46, 9,465.75 and 4,737.87 is: 6,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.46 : 9,465.75 = 4,737.87 : x
  2. Step 2: Convert to fraction form
    6,860.46/9,465.75 = 4,737.87/x
  3. Step 3: Cross multiply
    6,860.46x = 9,465.75 × 4,737.87
  4. Step 4: Simplify right side
    6,860.46x = 44,847,492.95
  5. Step 5: Solve for x
    x = 44,847,492.95/6,860.46
  6. Step 6: Final answer
    x = 6,537.10

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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.