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Finding the Fourth Proportional to 7,218.36, 9,946.08 and 6,423.84

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Solution

The fourth proportional to 7,218.36, 9,946.08 and 6,423.84 is: 8,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.36 : 9,946.08 = 6,423.84 : x
  2. Step 2: Convert to fraction form
    7,218.36/9,946.08 = 6,423.84/x
  3. Step 3: Cross multiply
    7,218.36x = 9,946.08 × 6,423.84
  4. Step 4: Simplify right side
    7,218.36x = 63,892,026.55
  5. Step 5: Solve for x
    x = 63,892,026.55/7,218.36
  6. Step 6: Final answer
    x = 8,851.32

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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.