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Finding the Fourth Proportional to 9,916.10, 14,910.60 and 8,312.30

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Solution

The fourth proportional to 9,916.10, 14,910.60 and 8,312.30 is: 12,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.10 : 14,910.60 = 8,312.30 : x
  2. Step 2: Convert to fraction form
    9,916.10/14,910.60 = 8,312.30/x
  3. Step 3: Cross multiply
    9,916.10x = 14,910.60 × 8,312.30
  4. Step 4: Simplify right side
    9,916.10x = 123,941,380.38
  5. Step 5: Solve for x
    x = 123,941,380.38/9,916.10
  6. Step 6: Final answer
    x = 12,499.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.