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Finding the Fourth Proportional to 9,342.16, 14,013.24 and 3,186

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Solution

The fourth proportional to 9,342.16, 14,013.24 and 3,186 is: 4,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.16 : 14,013.24 = 3,186 : x
  2. Step 2: Convert to fraction form
    9,342.16/14,013.24 = 3,186/x
  3. Step 3: Cross multiply
    9,342.16x = 14,013.24 × 3,186
  4. Step 4: Simplify right side
    9,342.16x = 44,646,182.64
  5. Step 5: Solve for x
    x = 44,646,182.64/9,342.16
  6. Step 6: Final answer
    x = 4,779

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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.