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Finding the Fourth Proportional to 9,407.64, 14,111.46 and 3,166.50

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Solution

The fourth proportional to 9,407.64, 14,111.46 and 3,166.50 is: 4,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.64 : 14,111.46 = 3,166.50 : x
  2. Step 2: Convert to fraction form
    9,407.64/14,111.46 = 3,166.50/x
  3. Step 3: Cross multiply
    9,407.64x = 14,111.46 × 3,166.50
  4. Step 4: Simplify right side
    9,407.64x = 44,683,938.09
  5. Step 5: Solve for x
    x = 44,683,938.09/9,407.64
  6. Step 6: Final answer
    x = 4,749.75

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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.