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Finding the Fourth Proportional to 6,271.88, 9,407.75 and 1,528.07

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Solution

The fourth proportional to 6,271.88, 9,407.75 and 1,528.07 is: 2,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.88 : 9,407.75 = 1,528.07 : x
  2. Step 2: Convert to fraction form
    6,271.88/9,407.75 = 1,528.07/x
  3. Step 3: Cross multiply
    6,271.88x = 9,407.75 × 1,528.07
  4. Step 4: Simplify right side
    6,271.88x = 14,375,645.86
  5. Step 5: Solve for x
    x = 14,375,645.86/6,271.88
  6. Step 6: Final answer
    x = 2,292.08

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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.