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Finding the Fourth Proportional to 9,845.14, 14,743.74 and 6,511.32

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Solution

The fourth proportional to 9,845.14, 14,743.74 and 6,511.32 is: 9,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.14 : 14,743.74 = 6,511.32 : x
  2. Step 2: Convert to fraction form
    9,845.14/14,743.74 = 6,511.32/x
  3. Step 3: Cross multiply
    9,845.14x = 14,743.74 × 6,511.32
  4. Step 4: Simplify right side
    9,845.14x = 96,001,209.14
  5. Step 5: Solve for x
    x = 96,001,209.14/9,845.14
  6. Step 6: Final answer
    x = 9,751.13

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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.