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Finding the Fourth Proportional to 9,585.22, 14,363.18 and 6,453.66

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Solution

The fourth proportional to 9,585.22, 14,363.18 and 6,453.66 is: 9,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.22 : 14,363.18 = 6,453.66 : x
  2. Step 2: Convert to fraction form
    9,585.22/14,363.18 = 6,453.66/x
  3. Step 3: Cross multiply
    9,585.22x = 14,363.18 × 6,453.66
  4. Step 4: Simplify right side
    9,585.22x = 92,695,080.24
  5. Step 5: Solve for x
    x = 92,695,080.24/9,585.22
  6. Step 6: Final answer
    x = 9,670.63

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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.