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Finding the Fourth Proportional to 9,852.32, 13,590.16 and 6,709.92

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Solution

The fourth proportional to 9,852.32, 13,590.16 and 6,709.92 is: 9,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.32 : 13,590.16 = 6,709.92 : x
  2. Step 2: Convert to fraction form
    9,852.32/13,590.16 = 6,709.92/x
  3. Step 3: Cross multiply
    9,852.32x = 13,590.16 × 6,709.92
  4. Step 4: Simplify right side
    9,852.32x = 91,188,886.39
  5. Step 5: Solve for x
    x = 91,188,886.39/9,852.32
  6. Step 6: Final answer
    x = 9,255.57

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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.