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Finding the Fourth Proportional to 9,530.46, 14,290.56 and 2,954.88

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Solution

The fourth proportional to 9,530.46, 14,290.56 and 2,954.88 is: 4,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.46 : 14,290.56 = 2,954.88 : x
  2. Step 2: Convert to fraction form
    9,530.46/14,290.56 = 2,954.88/x
  3. Step 3: Cross multiply
    9,530.46x = 14,290.56 × 2,954.88
  4. Step 4: Simplify right side
    9,530.46x = 42,226,889.93
  5. Step 5: Solve for x
    x = 42,226,889.93/9,530.46
  6. Step 6: Final answer
    x = 4,430.73

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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.