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Finding the Fourth Proportional to 9,686.54, 14,528.04 and 2,570.82

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Solution

The fourth proportional to 9,686.54, 14,528.04 and 2,570.82 is: 3,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.54 : 14,528.04 = 2,570.82 : x
  2. Step 2: Convert to fraction form
    9,686.54/14,528.04 = 2,570.82/x
  3. Step 3: Cross multiply
    9,686.54x = 14,528.04 × 2,570.82
  4. Step 4: Simplify right side
    9,686.54x = 37,348,975.79
  5. Step 5: Solve for x
    x = 37,348,975.79/9,686.54
  6. Step 6: Final answer
    x = 3,855.76

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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.