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Finding the Fourth Proportional to 9,562.93, 14,328.19 and 5,857.42

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Solution

The fourth proportional to 9,562.93, 14,328.19 and 5,857.42 is: 8,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.93 : 14,328.19 = 5,857.42 : x
  2. Step 2: Convert to fraction form
    9,562.93/14,328.19 = 5,857.42/x
  3. Step 3: Cross multiply
    9,562.93x = 14,328.19 × 5,857.42
  4. Step 4: Simplify right side
    9,562.93x = 83,926,226.67
  5. Step 5: Solve for x
    x = 83,926,226.67/9,562.93
  6. Step 6: Final answer
    x = 8,776.20

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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.