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Finding the Fourth Proportional to 9,632.70, 14,449.05 and 6,522.30

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Solution

The fourth proportional to 9,632.70, 14,449.05 and 6,522.30 is: 9,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.70 : 14,449.05 = 6,522.30 : x
  2. Step 2: Convert to fraction form
    9,632.70/14,449.05 = 6,522.30/x
  3. Step 3: Cross multiply
    9,632.70x = 14,449.05 × 6,522.30
  4. Step 4: Simplify right side
    9,632.70x = 94,241,038.82
  5. Step 5: Solve for x
    x = 94,241,038.82/9,632.70
  6. Step 6: Final answer
    x = 9,783.45

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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.