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Finding the Fourth Proportional to 9,926.40, 14,889.08 and 4,378.24

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Solution

The fourth proportional to 9,926.40, 14,889.08 and 4,378.24 is: 6,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.40 : 14,889.08 = 4,378.24 : x
  2. Step 2: Convert to fraction form
    9,926.40/14,889.08 = 4,378.24/x
  3. Step 3: Cross multiply
    9,926.40x = 14,889.08 × 4,378.24
  4. Step 4: Simplify right side
    9,926.40x = 65,187,965.62
  5. Step 5: Solve for x
    x = 65,187,965.62/9,926.40
  6. Step 6: Final answer
    x = 6,567.13

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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.