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Finding the Fourth Proportional to 9,807.70, 14,689.95 and 8,511.70

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Solution

The fourth proportional to 9,807.70, 14,689.95 and 8,511.70 is: 12,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.70 : 14,689.95 = 8,511.70 : x
  2. Step 2: Convert to fraction form
    9,807.70/14,689.95 = 8,511.70/x
  3. Step 3: Cross multiply
    9,807.70x = 14,689.95 × 8,511.70
  4. Step 4: Simplify right side
    9,807.70x = 125,036,447.42
  5. Step 5: Solve for x
    x = 125,036,447.42/9,807.70
  6. Step 6: Final answer
    x = 12,748.80

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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.