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Finding the Fourth Proportional to 9,441.09, 14,225.58 and 7,833.64

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Solution

The fourth proportional to 9,441.09, 14,225.58 and 7,833.64 is: 11,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.09 : 14,225.58 = 7,833.64 : x
  2. Step 2: Convert to fraction form
    9,441.09/14,225.58 = 7,833.64/x
  3. Step 3: Cross multiply
    9,441.09x = 14,225.58 × 7,833.64
  4. Step 4: Simplify right side
    9,441.09x = 111,438,072.51
  5. Step 5: Solve for x
    x = 111,438,072.51/9,441.09
  6. Step 6: Final answer
    x = 11,803.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.