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Finding the Fourth Proportional to 9,762.42, 14,646.14 and 2,742.45

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Solution

The fourth proportional to 9,762.42, 14,646.14 and 2,742.45 is: 4,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.42 : 14,646.14 = 2,742.45 : x
  2. Step 2: Convert to fraction form
    9,762.42/14,646.14 = 2,742.45/x
  3. Step 3: Cross multiply
    9,762.42x = 14,646.14 × 2,742.45
  4. Step 4: Simplify right side
    9,762.42x = 40,166,292.93
  5. Step 5: Solve for x
    x = 40,166,292.93/9,762.42
  6. Step 6: Final answer
    x = 4,114.38

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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.