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Finding the Fourth Proportional to 9,595.02, 14,382.81 and 4,660.50

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Solution

The fourth proportional to 9,595.02, 14,382.81 and 4,660.50 is: 6,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.02 : 14,382.81 = 4,660.50 : x
  2. Step 2: Convert to fraction form
    9,595.02/14,382.81 = 4,660.50/x
  3. Step 3: Cross multiply
    9,595.02x = 14,382.81 × 4,660.50
  4. Step 4: Simplify right side
    9,595.02x = 67,031,086.01
  5. Step 5: Solve for x
    x = 67,031,086.01/9,595.02
  6. Step 6: Final answer
    x = 6,986.03

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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.