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Finding the Fourth Proportional to 6,630.04, 9,148.44 and 3,835

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Solution

The fourth proportional to 6,630.04, 9,148.44 and 3,835 is: 5,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.04 : 9,148.44 = 3,835 : x
  2. Step 2: Convert to fraction form
    6,630.04/9,148.44 = 3,835/x
  3. Step 3: Cross multiply
    6,630.04x = 9,148.44 × 3,835
  4. Step 4: Simplify right side
    6,630.04x = 35,084,267.40
  5. Step 5: Solve for x
    x = 35,084,267.40/6,630.04
  6. Step 6: Final answer
    x = 5,291.71

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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.