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Finding the Fourth Proportional to 9,432, 14,147.52 and 2,858.16

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Solution

The fourth proportional to 9,432, 14,147.52 and 2,858.16 is: 4,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 14,147.52 = 2,858.16 : x
  2. Step 2: Convert to fraction form
    9,432/14,147.52 = 2,858.16/x
  3. Step 3: Cross multiply
    9,432x = 14,147.52 × 2,858.16
  4. Step 4: Simplify right side
    9,432x = 40,435,875.76
  5. Step 5: Solve for x
    x = 40,435,875.76/9,432
  6. Step 6: Final answer
    x = 4,287.09

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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.