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Finding the Fourth Proportional to 7,164.48, 9,884.56 and 4,649.74

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Solution

The fourth proportional to 7,164.48, 9,884.56 and 4,649.74 is: 6,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.48 : 9,884.56 = 4,649.74 : x
  2. Step 2: Convert to fraction form
    7,164.48/9,884.56 = 4,649.74/x
  3. Step 3: Cross multiply
    7,164.48x = 9,884.56 × 4,649.74
  4. Step 4: Simplify right side
    7,164.48x = 45,960,634.01
  5. Step 5: Solve for x
    x = 45,960,634.01/7,164.48
  6. Step 6: Final answer
    x = 6,415.07

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