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Finding the Fourth Proportional to 9,216.47, 12,713.87 and 6,233.31

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Solution

The fourth proportional to 9,216.47, 12,713.87 and 6,233.31 is: 8,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.47 : 12,713.87 = 6,233.31 : x
  2. Step 2: Convert to fraction form
    9,216.47/12,713.87 = 6,233.31/x
  3. Step 3: Cross multiply
    9,216.47x = 12,713.87 × 6,233.31
  4. Step 4: Simplify right side
    9,216.47x = 79,249,461.84
  5. Step 5: Solve for x
    x = 79,249,461.84/9,216.47
  6. Step 6: Final answer
    x = 8,598.68

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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.