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Finding the Fourth Proportional to 9,254.52, 12,771 and 5,062.50

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Solution

The fourth proportional to 9,254.52, 12,771 and 5,062.50 is: 6,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.52 : 12,771 = 5,062.50 : x
  2. Step 2: Convert to fraction form
    9,254.52/12,771 = 5,062.50/x
  3. Step 3: Cross multiply
    9,254.52x = 12,771 × 5,062.50
  4. Step 4: Simplify right side
    9,254.52x = 64,653,187.50
  5. Step 5: Solve for x
    x = 64,653,187.50/9,254.52
  6. Step 6: Final answer
    x = 6,986.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.