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Finding the Fourth Proportional to 9,623.52, 14,420.16 and 7,437.60

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Solution

The fourth proportional to 9,623.52, 14,420.16 and 7,437.60 is: 11,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.52 : 14,420.16 = 7,437.60 : x
  2. Step 2: Convert to fraction form
    9,623.52/14,420.16 = 7,437.60/x
  3. Step 3: Cross multiply
    9,623.52x = 14,420.16 × 7,437.60
  4. Step 4: Simplify right side
    9,623.52x = 107,251,382.02
  5. Step 5: Solve for x
    x = 107,251,382.02/9,623.52
  6. Step 6: Final answer
    x = 11,144.71

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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.