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Finding the Fourth Proportional to 9,852.50, 13,596.45 and 6,714.16

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Solution

The fourth proportional to 9,852.50, 13,596.45 and 6,714.16 is: 9,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.50 : 13,596.45 = 6,714.16 : x
  2. Step 2: Convert to fraction form
    9,852.50/13,596.45 = 6,714.16/x
  3. Step 3: Cross multiply
    9,852.50x = 13,596.45 × 6,714.16
  4. Step 4: Simplify right side
    9,852.50x = 91,288,672.75
  5. Step 5: Solve for x
    x = 91,288,672.75/9,852.50
  6. Step 6: Final answer
    x = 9,265.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.