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Finding the Fourth Proportional to 6,684.64, 9,218.04 and 4,030.48

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Solution

The fourth proportional to 6,684.64, 9,218.04 and 4,030.48 is: 5,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.64 : 9,218.04 = 4,030.48 : x
  2. Step 2: Convert to fraction form
    6,684.64/9,218.04 = 4,030.48/x
  3. Step 3: Cross multiply
    6,684.64x = 9,218.04 × 4,030.48
  4. Step 4: Simplify right side
    6,684.64x = 37,153,125.86
  5. Step 5: Solve for x
    x = 37,153,125.86/6,684.64
  6. Step 6: Final answer
    x = 5,557.98

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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.