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Finding the Fourth Proportional to 6,827.51, 9,423.20 and 4,838.15

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Solution

The fourth proportional to 6,827.51, 9,423.20 and 4,838.15 is: 6,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.51 : 9,423.20 = 4,838.15 : x
  2. Step 2: Convert to fraction form
    6,827.51/9,423.20 = 4,838.15/x
  3. Step 3: Cross multiply
    6,827.51x = 9,423.20 × 4,838.15
  4. Step 4: Simplify right side
    6,827.51x = 45,590,855.08
  5. Step 5: Solve for x
    x = 45,590,855.08/6,827.51
  6. Step 6: Final answer
    x = 6,677.52

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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.