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Finding the Fourth Proportional to 9,850.24, 13,595.02 and 9,407.36

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Solution

The fourth proportional to 9,850.24, 13,595.02 and 9,407.36 is: 12,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.24 : 13,595.02 = 9,407.36 : x
  2. Step 2: Convert to fraction form
    9,850.24/13,595.02 = 9,407.36/x
  3. Step 3: Cross multiply
    9,850.24x = 13,595.02 × 9,407.36
  4. Step 4: Simplify right side
    9,850.24x = 127,893,247.35
  5. Step 5: Solve for x
    x = 127,893,247.35/9,850.24
  6. Step 6: Final answer
    x = 12,983.77

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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.