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Finding the Fourth Proportional to 9,445.32, 14,168 and 2,871.52

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Solution

The fourth proportional to 9,445.32, 14,168 and 2,871.52 is: 4,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.32 : 14,168 = 2,871.52 : x
  2. Step 2: Convert to fraction form
    9,445.32/14,168 = 2,871.52/x
  3. Step 3: Cross multiply
    9,445.32x = 14,168 × 2,871.52
  4. Step 4: Simplify right side
    9,445.32x = 40,683,695.36
  5. Step 5: Solve for x
    x = 40,683,695.36/9,445.32
  6. Step 6: Final answer
    x = 4,307.29

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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.