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Finding the Fourth Proportional to 6,271.70, 9,407.45 and 1,527.88

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Solution

The fourth proportional to 6,271.70, 9,407.45 and 1,527.88 is: 2,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.70 : 9,407.45 = 1,527.88 : x
  2. Step 2: Convert to fraction form
    6,271.70/9,407.45 = 1,527.88/x
  3. Step 3: Cross multiply
    6,271.70x = 9,407.45 × 1,527.88
  4. Step 4: Simplify right side
    6,271.70x = 14,373,400.03
  5. Step 5: Solve for x
    x = 14,373,400.03/6,271.70
  6. Step 6: Final answer
    x = 2,291.79

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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.