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Finding the Fourth Proportional to 9,623.80, 14,442.99 and 6,496.39

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Solution

The fourth proportional to 9,623.80, 14,442.99 and 6,496.39 is: 9,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.80 : 14,442.99 = 6,496.39 : x
  2. Step 2: Convert to fraction form
    9,623.80/14,442.99 = 6,496.39/x
  3. Step 3: Cross multiply
    9,623.80x = 14,442.99 × 6,496.39
  4. Step 4: Simplify right side
    9,623.80x = 93,827,295.81
  5. Step 5: Solve for x
    x = 93,827,295.81/9,623.80
  6. Step 6: Final answer
    x = 9,749.51

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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.