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Finding the Fourth Proportional to 9,861.52, 14,706.74 and 8,410

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Solution

The fourth proportional to 9,861.52, 14,706.74 and 8,410 is: 12,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.52 : 14,706.74 = 8,410 : x
  2. Step 2: Convert to fraction form
    9,861.52/14,706.74 = 8,410/x
  3. Step 3: Cross multiply
    9,861.52x = 14,706.74 × 8,410
  4. Step 4: Simplify right side
    9,861.52x = 123,683,683.40
  5. Step 5: Solve for x
    x = 123,683,683.40/9,861.52
  6. Step 6: Final answer
    x = 12,542.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.