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Finding the Fourth Proportional to 9,326.48, 14,040.76 and 8,510

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Solution

The fourth proportional to 9,326.48, 14,040.76 and 8,510 is: 12,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.48 : 14,040.76 = 8,510 : x
  2. Step 2: Convert to fraction form
    9,326.48/14,040.76 = 8,510/x
  3. Step 3: Cross multiply
    9,326.48x = 14,040.76 × 8,510
  4. Step 4: Simplify right side
    9,326.48x = 119,486,867.60
  5. Step 5: Solve for x
    x = 119,486,867.60/9,326.48
  6. Step 6: Final answer
    x = 12,811.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.