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Finding the Fourth Proportional to 9,488.94, 13,100.85 and 6,503.82

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Solution

The fourth proportional to 9,488.94, 13,100.85 and 6,503.82 is: 8,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.94 : 13,100.85 = 6,503.82 : x
  2. Step 2: Convert to fraction form
    9,488.94/13,100.85 = 6,503.82/x
  3. Step 3: Cross multiply
    9,488.94x = 13,100.85 × 6,503.82
  4. Step 4: Simplify right side
    9,488.94x = 85,205,570.25
  5. Step 5: Solve for x
    x = 85,205,570.25/9,488.94
  6. Step 6: Final answer
    x = 8,979.46

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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.