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Finding the Fourth Proportional to 9,941.94, 14,903.19 and 4,103.46

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Solution

The fourth proportional to 9,941.94, 14,903.19 and 4,103.46 is: 6,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.94 : 14,903.19 = 4,103.46 : x
  2. Step 2: Convert to fraction form
    9,941.94/14,903.19 = 4,103.46/x
  3. Step 3: Cross multiply
    9,941.94x = 14,903.19 × 4,103.46
  4. Step 4: Simplify right side
    9,941.94x = 61,154,644.04
  5. Step 5: Solve for x
    x = 61,154,644.04/9,941.94
  6. Step 6: Final answer
    x = 6,151.18

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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.