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Finding the Fourth Proportional to 9,830.40, 13,542.88 and 6,841.10

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Solution

The fourth proportional to 9,830.40, 13,542.88 and 6,841.10 is: 9,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.40 : 13,542.88 = 6,841.10 : x
  2. Step 2: Convert to fraction form
    9,830.40/13,542.88 = 6,841.10/x
  3. Step 3: Cross multiply
    9,830.40x = 13,542.88 × 6,841.10
  4. Step 4: Simplify right side
    9,830.40x = 92,648,196.37
  5. Step 5: Solve for x
    x = 92,648,196.37/9,830.40
  6. Step 6: Final answer
    x = 9,424.66

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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.