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Finding the Fourth Proportional to 9,762.88, 14,646.71 and 2,742.87

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Solution

The fourth proportional to 9,762.88, 14,646.71 and 2,742.87 is: 4,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.88 : 14,646.71 = 2,742.87 : x
  2. Step 2: Convert to fraction form
    9,762.88/14,646.71 = 2,742.87/x
  3. Step 3: Cross multiply
    9,762.88x = 14,646.71 × 2,742.87
  4. Step 4: Simplify right side
    9,762.88x = 40,174,021.46
  5. Step 5: Solve for x
    x = 40,174,021.46/9,762.88
  6. Step 6: Final answer
    x = 4,114.98

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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.