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Finding the Fourth Proportional to 9,591.36, 14,391.36 and 4,665.48

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Solution

The fourth proportional to 9,591.36, 14,391.36 and 4,665.48 is: 7,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.36 : 14,391.36 = 4,665.48 : x
  2. Step 2: Convert to fraction form
    9,591.36/14,391.36 = 4,665.48/x
  3. Step 3: Cross multiply
    9,591.36x = 14,391.36 × 4,665.48
  4. Step 4: Simplify right side
    9,591.36x = 67,142,602.25
  5. Step 5: Solve for x
    x = 67,142,602.25/9,591.36
  6. Step 6: Final answer
    x = 7,000.32

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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.