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Finding the Fourth Proportional to 9,401.63, 12,970.82 and 5,624.91

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Solution

The fourth proportional to 9,401.63, 12,970.82 and 5,624.91 is: 7,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.63 : 12,970.82 = 5,624.91 : x
  2. Step 2: Convert to fraction form
    9,401.63/12,970.82 = 5,624.91/x
  3. Step 3: Cross multiply
    9,401.63x = 12,970.82 × 5,624.91
  4. Step 4: Simplify right side
    9,401.63x = 72,959,630.27
  5. Step 5: Solve for x
    x = 72,959,630.27/9,401.63
  6. Step 6: Final answer
    x = 7,760.32

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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.