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Finding the Fourth Proportional to 6,875.42, 9,486.14 and 4,041.77

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Solution

The fourth proportional to 6,875.42, 9,486.14 and 4,041.77 is: 5,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.42 : 9,486.14 = 4,041.77 : x
  2. Step 2: Convert to fraction form
    6,875.42/9,486.14 = 4,041.77/x
  3. Step 3: Cross multiply
    6,875.42x = 9,486.14 × 4,041.77
  4. Step 4: Simplify right side
    6,875.42x = 38,340,728.43
  5. Step 5: Solve for x
    x = 38,340,728.43/6,875.42
  6. Step 6: Final answer
    x = 5,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.