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Finding the Fourth Proportional to 9,701.64, 14,524.38 and 8,220.96

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Solution

The fourth proportional to 9,701.64, 14,524.38 and 8,220.96 is: 12,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.64 : 14,524.38 = 8,220.96 : x
  2. Step 2: Convert to fraction form
    9,701.64/14,524.38 = 8,220.96/x
  3. Step 3: Cross multiply
    9,701.64x = 14,524.38 × 8,220.96
  4. Step 4: Simplify right side
    9,701.64x = 119,404,347.00
  5. Step 5: Solve for x
    x = 119,404,347.00/9,701.64
  6. Step 6: Final answer
    x = 12,307.65

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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.