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Finding the Fourth Proportional to 9,852.12, 13,596.12 and 7,730.19

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Solution

The fourth proportional to 9,852.12, 13,596.12 and 7,730.19 is: 10,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.12 : 13,596.12 = 7,730.19 : x
  2. Step 2: Convert to fraction form
    9,852.12/13,596.12 = 7,730.19/x
  3. Step 3: Cross multiply
    9,852.12x = 13,596.12 × 7,730.19
  4. Step 4: Simplify right side
    9,852.12x = 105,100,590.86
  5. Step 5: Solve for x
    x = 105,100,590.86/9,852.12
  6. Step 6: Final answer
    x = 10,667.81

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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.