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Finding the Fourth Proportional to 9,134.64, 13,689.54 and 4,743

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Solution

The fourth proportional to 9,134.64, 13,689.54 and 4,743 is: 7,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.64 : 13,689.54 = 4,743 : x
  2. Step 2: Convert to fraction form
    9,134.64/13,689.54 = 4,743/x
  3. Step 3: Cross multiply
    9,134.64x = 13,689.54 × 4,743
  4. Step 4: Simplify right side
    9,134.64x = 64,929,488.22
  5. Step 5: Solve for x
    x = 64,929,488.22/9,134.64
  6. Step 6: Final answer
    x = 7,108.05

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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.