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Finding the Fourth Proportional to 9,852.32, 14,779.49 and 3,188.31

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Solution

The fourth proportional to 9,852.32, 14,779.49 and 3,188.31 is: 4,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.32 : 14,779.49 = 3,188.31 : x
  2. Step 2: Convert to fraction form
    9,852.32/14,779.49 = 3,188.31/x
  3. Step 3: Cross multiply
    9,852.32x = 14,779.49 × 3,188.31
  4. Step 4: Simplify right side
    9,852.32x = 47,121,579.82
  5. Step 5: Solve for x
    x = 47,121,579.82/9,852.32
  6. Step 6: Final answer
    x = 4,782.79

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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.