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Finding the Fourth Proportional to 9,966.90, 14,950.35 and 8,363.10

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Solution

The fourth proportional to 9,966.90, 14,950.35 and 8,363.10 is: 12,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.90 : 14,950.35 = 8,363.10 : x
  2. Step 2: Convert to fraction form
    9,966.90/14,950.35 = 8,363.10/x
  3. Step 3: Cross multiply
    9,966.90x = 14,950.35 × 8,363.10
  4. Step 4: Simplify right side
    9,966.90x = 125,031,272.09
  5. Step 5: Solve for x
    x = 125,031,272.09/9,966.90
  6. Step 6: Final answer
    x = 12,544.65

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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.