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Finding the Fourth Proportional to 9,593.34, 14,386.23 and 4,661.52

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Solution

The fourth proportional to 9,593.34, 14,386.23 and 4,661.52 is: 6,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.34 : 14,386.23 = 4,661.52 : x
  2. Step 2: Convert to fraction form
    9,593.34/14,386.23 = 4,661.52/x
  3. Step 3: Cross multiply
    9,593.34x = 14,386.23 × 4,661.52
  4. Step 4: Simplify right side
    9,593.34x = 67,061,698.87
  5. Step 5: Solve for x
    x = 67,061,698.87/9,593.34
  6. Step 6: Final answer
    x = 6,990.44

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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.