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Finding the Fourth Proportional to 6,392.10, 9,587.88 and 2,009.46

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Solution

The fourth proportional to 6,392.10, 9,587.88 and 2,009.46 is: 3,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.10 : 9,587.88 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    6,392.10/9,587.88 = 2,009.46/x
  3. Step 3: Cross multiply
    6,392.10x = 9,587.88 × 2,009.46
  4. Step 4: Simplify right side
    6,392.10x = 19,266,461.34
  5. Step 5: Solve for x
    x = 19,266,461.34/6,392.10
  6. Step 6: Final answer
    x = 3,014.11

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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.