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Finding the Fourth Proportional to 6,126, 9,130.88 and 5,941.32

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Solution

The fourth proportional to 6,126, 9,130.88 and 5,941.32 is: 8,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 9,130.88 = 5,941.32 : x
  2. Step 2: Convert to fraction form
    6,126/9,130.88 = 5,941.32/x
  3. Step 3: Cross multiply
    6,126x = 9,130.88 × 5,941.32
  4. Step 4: Simplify right side
    6,126x = 54,249,479.96
  5. Step 5: Solve for x
    x = 54,249,479.96/6,126
  6. Step 6: Final answer
    x = 8,855.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.