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Finding the Fourth Proportional to 9,203, 13,810.16 and 4,009.28

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Solution

The fourth proportional to 9,203, 13,810.16 and 4,009.28 is: 6,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203 : 13,810.16 = 4,009.28 : x
  2. Step 2: Convert to fraction form
    9,203/13,810.16 = 4,009.28/x
  3. Step 3: Cross multiply
    9,203x = 13,810.16 × 4,009.28
  4. Step 4: Simplify right side
    9,203x = 55,368,798.28
  5. Step 5: Solve for x
    x = 55,368,798.28/9,203
  6. Step 6: Final answer
    x = 6,016.39

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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.