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Finding the Fourth Proportional to 9,530, 14,295.04 and 2,956.08

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Solution

The fourth proportional to 9,530, 14,295.04 and 2,956.08 is: 4,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530 : 14,295.04 = 2,956.08 : x
  2. Step 2: Convert to fraction form
    9,530/14,295.04 = 2,956.08/x
  3. Step 3: Cross multiply
    9,530x = 14,295.04 × 2,956.08
  4. Step 4: Simplify right side
    9,530x = 42,257,281.84
  5. Step 5: Solve for x
    x = 42,257,281.84/9,530
  6. Step 6: Final answer
    x = 4,434.13

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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.