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Finding the Fourth Proportional to 9,607.95, 14,407.07 and 2,942.46

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Solution

The fourth proportional to 9,607.95, 14,407.07 and 2,942.46 is: 4,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.95 : 14,407.07 = 2,942.46 : x
  2. Step 2: Convert to fraction form
    9,607.95/14,407.07 = 2,942.46/x
  3. Step 3: Cross multiply
    9,607.95x = 14,407.07 × 2,942.46
  4. Step 4: Simplify right side
    9,607.95x = 42,392,212.48
  5. Step 5: Solve for x
    x = 42,392,212.48/9,607.95
  6. Step 6: Final answer
    x = 4,412.20

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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.