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Finding the Fourth Proportional to 9,357.90, 14,036.82 and 6,427.32

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Solution

The fourth proportional to 9,357.90, 14,036.82 and 6,427.32 is: 9,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.90 : 14,036.82 = 6,427.32 : x
  2. Step 2: Convert to fraction form
    9,357.90/14,036.82 = 6,427.32/x
  3. Step 3: Cross multiply
    9,357.90x = 14,036.82 × 6,427.32
  4. Step 4: Simplify right side
    9,357.90x = 90,219,133.92
  5. Step 5: Solve for x
    x = 90,219,133.92/9,357.90
  6. Step 6: Final answer
    x = 9,640.96

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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.