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Finding the Fourth Proportional to 9,649.35, 14,482.95 and 5,958.81

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Solution

The fourth proportional to 9,649.35, 14,482.95 and 5,958.81 is: 8,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.35 : 14,482.95 = 5,958.81 : x
  2. Step 2: Convert to fraction form
    9,649.35/14,482.95 = 5,958.81/x
  3. Step 3: Cross multiply
    9,649.35x = 14,482.95 × 5,958.81
  4. Step 4: Simplify right side
    9,649.35x = 86,301,147.29
  5. Step 5: Solve for x
    x = 86,301,147.29/9,649.35
  6. Step 6: Final answer
    x = 8,943.73

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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.