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Finding the Fourth Proportional to 9,374, 14,059.44 and 4,689.04

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Solution

The fourth proportional to 9,374, 14,059.44 and 4,689.04 is: 7,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374 : 14,059.44 = 4,689.04 : x
  2. Step 2: Convert to fraction form
    9,374/14,059.44 = 4,689.04/x
  3. Step 3: Cross multiply
    9,374x = 14,059.44 × 4,689.04
  4. Step 4: Simplify right side
    9,374x = 65,925,276.54
  5. Step 5: Solve for x
    x = 65,925,276.54/9,374
  6. Step 6: Final answer
    x = 7,032.78

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Why These Related Problems?

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