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Finding the Fourth Proportional to 9,909.63, 14,866.89 and 6,993.63

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Solution

The fourth proportional to 9,909.63, 14,866.89 and 6,993.63 is: 10,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.63 : 14,866.89 = 6,993.63 : x
  2. Step 2: Convert to fraction form
    9,909.63/14,866.89 = 6,993.63/x
  3. Step 3: Cross multiply
    9,909.63x = 14,866.89 × 6,993.63
  4. Step 4: Simplify right side
    9,909.63x = 103,973,527.91
  5. Step 5: Solve for x
    x = 103,973,527.91/9,909.63
  6. Step 6: Final answer
    x = 10,492.17

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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.