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Finding the Fourth Proportional to 9,527.10, 14,299.88 and 4,600.20

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Solution

The fourth proportional to 9,527.10, 14,299.88 and 4,600.20 is: 6,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.10 : 14,299.88 = 4,600.20 : x
  2. Step 2: Convert to fraction form
    9,527.10/14,299.88 = 4,600.20/x
  3. Step 3: Cross multiply
    9,527.10x = 14,299.88 × 4,600.20
  4. Step 4: Simplify right side
    9,527.10x = 65,782,284.98
  5. Step 5: Solve for x
    x = 65,782,284.98/9,527.10
  6. Step 6: Final answer
    x = 6,904.75

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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.