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Finding the Fourth Proportional to 9,327.64, 14,007.06 and 5,825.80

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Solution

The fourth proportional to 9,327.64, 14,007.06 and 5,825.80 is: 8,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.64 : 14,007.06 = 5,825.80 : x
  2. Step 2: Convert to fraction form
    9,327.64/14,007.06 = 5,825.80/x
  3. Step 3: Cross multiply
    9,327.64x = 14,007.06 × 5,825.80
  4. Step 4: Simplify right side
    9,327.64x = 81,602,330.15
  5. Step 5: Solve for x
    x = 81,602,330.15/9,327.64
  6. Step 6: Final answer
    x = 8,748.44

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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.