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Finding the Fourth Proportional to 9,647.10, 14,446.35 and 6,342.30

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Solution

The fourth proportional to 9,647.10, 14,446.35 and 6,342.30 is: 9,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.10 : 14,446.35 = 6,342.30 : x
  2. Step 2: Convert to fraction form
    9,647.10/14,446.35 = 6,342.30/x
  3. Step 3: Cross multiply
    9,647.10x = 14,446.35 × 6,342.30
  4. Step 4: Simplify right side
    9,647.10x = 91,623,085.61
  5. Step 5: Solve for x
    x = 91,623,085.61/9,647.10
  6. Step 6: Final answer
    x = 9,497.47

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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.