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Finding the Fourth Proportional to 9,445.63, 14,168.74 and 2,871.87

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Solution

The fourth proportional to 9,445.63, 14,168.74 and 2,871.87 is: 4,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.63 : 14,168.74 = 2,871.87 : x
  2. Step 2: Convert to fraction form
    9,445.63/14,168.74 = 2,871.87/x
  3. Step 3: Cross multiply
    9,445.63x = 14,168.74 × 2,871.87
  4. Step 4: Simplify right side
    9,445.63x = 40,690,779.34
  5. Step 5: Solve for x
    x = 40,690,779.34/9,445.63
  6. Step 6: Final answer
    x = 4,307.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.