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Finding the Fourth Proportional to 9,931.96, 13,606.90 and 9,558.37

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Solution

The fourth proportional to 9,931.96, 13,606.90 and 9,558.37 is: 13,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.96 : 13,606.90 = 9,558.37 : x
  2. Step 2: Convert to fraction form
    9,931.96/13,606.90 = 9,558.37/x
  3. Step 3: Cross multiply
    9,931.96x = 13,606.90 × 9,558.37
  4. Step 4: Simplify right side
    9,931.96x = 130,059,784.75
  5. Step 5: Solve for x
    x = 130,059,784.75/9,931.96
  6. Step 6: Final answer
    x = 13,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.