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Finding the Fourth Proportional to 9,896.98, 14,855.04 and 8,070.23

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Solution

The fourth proportional to 9,896.98, 14,855.04 and 8,070.23 is: 12,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.98 : 14,855.04 = 8,070.23 : x
  2. Step 2: Convert to fraction form
    9,896.98/14,855.04 = 8,070.23/x
  3. Step 3: Cross multiply
    9,896.98x = 14,855.04 × 8,070.23
  4. Step 4: Simplify right side
    9,896.98x = 119,883,474.83
  5. Step 5: Solve for x
    x = 119,883,474.83/9,896.98
  6. Step 6: Final answer
    x = 12,113.14

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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.