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Finding the Fourth Proportional to 4,673.14, 7,009.71 and 4,388.02

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Solution

The fourth proportional to 4,673.14, 7,009.71 and 4,388.02 is: 6,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.14 : 7,009.71 = 4,388.02 : x
  2. Step 2: Convert to fraction form
    4,673.14/7,009.71 = 4,388.02/x
  3. Step 3: Cross multiply
    4,673.14x = 7,009.71 × 4,388.02
  4. Step 4: Simplify right side
    4,673.14x = 30,758,747.67
  5. Step 5: Solve for x
    x = 30,758,747.67/4,673.14
  6. Step 6: Final answer
    x = 6,582.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.