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Finding the Fourth Proportional to 6,411.34, 9,618.56 and 3,123.68

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Solution

The fourth proportional to 6,411.34, 9,618.56 and 3,123.68 is: 4,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.34 : 9,618.56 = 3,123.68 : x
  2. Step 2: Convert to fraction form
    6,411.34/9,618.56 = 3,123.68/x
  3. Step 3: Cross multiply
    6,411.34x = 9,618.56 × 3,123.68
  4. Step 4: Simplify right side
    6,411.34x = 30,045,303.50
  5. Step 5: Solve for x
    x = 30,045,303.50/6,411.34
  6. Step 6: Final answer
    x = 4,686.28

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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.