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Finding the Fourth Proportional to 6,459.76, 9,664.44 and 5,673.52

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Solution

The fourth proportional to 6,459.76, 9,664.44 and 5,673.52 is: 8,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.76 : 9,664.44 = 5,673.52 : x
  2. Step 2: Convert to fraction form
    6,459.76/9,664.44 = 5,673.52/x
  3. Step 3: Cross multiply
    6,459.76x = 9,664.44 × 5,673.52
  4. Step 4: Simplify right side
    6,459.76x = 54,831,393.63
  5. Step 5: Solve for x
    x = 54,831,393.63/6,459.76
  6. Step 6: Final answer
    x = 8,488.15

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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.