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Finding the Fourth Proportional to 9,496, 14,228.40 and 6,709.04

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Solution

The fourth proportional to 9,496, 14,228.40 and 6,709.04 is: 10,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 14,228.40 = 6,709.04 : x
  2. Step 2: Convert to fraction form
    9,496/14,228.40 = 6,709.04/x
  3. Step 3: Cross multiply
    9,496x = 14,228.40 × 6,709.04
  4. Step 4: Simplify right side
    9,496x = 95,458,904.74
  5. Step 5: Solve for x
    x = 95,458,904.74/9,496
  6. Step 6: Final answer
    x = 10,052.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.