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Finding the Fourth Proportional to 9,771.30, 14,656.95 and 8,568.45

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Solution

The fourth proportional to 9,771.30, 14,656.95 and 8,568.45 is: 12,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.30 : 14,656.95 = 8,568.45 : x
  2. Step 2: Convert to fraction form
    9,771.30/14,656.95 = 8,568.45/x
  3. Step 3: Cross multiply
    9,771.30x = 14,656.95 × 8,568.45
  4. Step 4: Simplify right side
    9,771.30x = 125,587,343.23
  5. Step 5: Solve for x
    x = 125,587,343.23/9,771.30
  6. Step 6: Final answer
    x = 12,852.68

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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.