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Finding the Fourth Proportional to 9,524.71, 14,256.01 and 8,615.35

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Solution

The fourth proportional to 9,524.71, 14,256.01 and 8,615.35 is: 12,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.71 : 14,256.01 = 8,615.35 : x
  2. Step 2: Convert to fraction form
    9,524.71/14,256.01 = 8,615.35/x
  3. Step 3: Cross multiply
    9,524.71x = 14,256.01 × 8,615.35
  4. Step 4: Simplify right side
    9,524.71x = 122,820,515.75
  5. Step 5: Solve for x
    x = 122,820,515.75/9,524.71
  6. Step 6: Final answer
    x = 12,894.93

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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.