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Finding the Fourth Proportional to 9,709.35, 13,391.06 and 6,521.69

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Solution

The fourth proportional to 9,709.35, 13,391.06 and 6,521.69 is: 8,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.35 : 13,391.06 = 6,521.69 : x
  2. Step 2: Convert to fraction form
    9,709.35/13,391.06 = 6,521.69/x
  3. Step 3: Cross multiply
    9,709.35x = 13,391.06 × 6,521.69
  4. Step 4: Simplify right side
    9,709.35x = 87,332,242.53
  5. Step 5: Solve for x
    x = 87,332,242.53/9,709.35
  6. Step 6: Final answer
    x = 8,994.65

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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.