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Finding the Fourth Proportional to 11,776.90, 16,235.88 and 9,394.95

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Solution

The fourth proportional to 11,776.90, 16,235.88 and 9,394.95 is: 12,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.90 : 16,235.88 = 9,394.95 : x
  2. Step 2: Convert to fraction form
    11,776.90/16,235.88 = 9,394.95/x
  3. Step 3: Cross multiply
    11,776.90x = 16,235.88 × 9,394.95
  4. Step 4: Simplify right side
    11,776.90x = 152,535,280.81
  5. Step 5: Solve for x
    x = 152,535,280.81/11,776.90
  6. Step 6: Final answer
    x = 12,952.07

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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.