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Finding the Fourth Proportional to 9,501, 14,243.34 and 3,653.64

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Solution

The fourth proportional to 9,501, 14,243.34 and 3,653.64 is: 5,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501 : 14,243.34 = 3,653.64 : x
  2. Step 2: Convert to fraction form
    9,501/14,243.34 = 3,653.64/x
  3. Step 3: Cross multiply
    9,501x = 14,243.34 × 3,653.64
  4. Step 4: Simplify right side
    9,501x = 52,040,036.76
  5. Step 5: Solve for x
    x = 52,040,036.76/9,501
  6. Step 6: Final answer
    x = 5,477.32

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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.