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Finding the Fourth Proportional to 9,475.85, 14,209.04 and 5,528.46

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Solution

The fourth proportional to 9,475.85, 14,209.04 and 5,528.46 is: 8,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.85 : 14,209.04 = 5,528.46 : x
  2. Step 2: Convert to fraction form
    9,475.85/14,209.04 = 5,528.46/x
  3. Step 3: Cross multiply
    9,475.85x = 14,209.04 × 5,528.46
  4. Step 4: Simplify right side
    9,475.85x = 78,554,081.64
  5. Step 5: Solve for x
    x = 78,554,081.64/9,475.85
  6. Step 6: Final answer
    x = 8,289.93

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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.