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Finding the Fourth Proportional to 9,593.15, 14,389.72 and 4,658.56

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Solution

The fourth proportional to 9,593.15, 14,389.72 and 4,658.56 is: 6,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.15 : 14,389.72 = 4,658.56 : x
  2. Step 2: Convert to fraction form
    9,593.15/14,389.72 = 4,658.56/x
  3. Step 3: Cross multiply
    9,593.15x = 14,389.72 × 4,658.56
  4. Step 4: Simplify right side
    9,593.15x = 67,035,278.76
  5. Step 5: Solve for x
    x = 67,035,278.76/9,593.15
  6. Step 6: Final answer
    x = 6,987.83

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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.