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Finding the Fourth Proportional to 9,462.48, 14,187.08 and 4,194.63

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Solution

The fourth proportional to 9,462.48, 14,187.08 and 4,194.63 is: 6,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.48 : 14,187.08 = 4,194.63 : x
  2. Step 2: Convert to fraction form
    9,462.48/14,187.08 = 4,194.63/x
  3. Step 3: Cross multiply
    9,462.48x = 14,187.08 × 4,194.63
  4. Step 4: Simplify right side
    9,462.48x = 59,509,551.38
  5. Step 5: Solve for x
    x = 59,509,551.38/9,462.48
  6. Step 6: Final answer
    x = 6,289.00

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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.