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Finding the Fourth Proportional to 6,830.76, 9,423.54 and 4,035.72

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Solution

The fourth proportional to 6,830.76, 9,423.54 and 4,035.72 is: 5,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.76 : 9,423.54 = 4,035.72 : x
  2. Step 2: Convert to fraction form
    6,830.76/9,423.54 = 4,035.72/x
  3. Step 3: Cross multiply
    6,830.76x = 9,423.54 × 4,035.72
  4. Step 4: Simplify right side
    6,830.76x = 38,030,768.85
  5. Step 5: Solve for x
    x = 38,030,768.85/6,830.76
  6. Step 6: Final answer
    x = 5,567.58

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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.