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Finding the Fourth Proportional to 9,518.16, 13,135.05 and 5,541.92

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Solution

The fourth proportional to 9,518.16, 13,135.05 and 5,541.92 is: 7,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.16 : 13,135.05 = 5,541.92 : x
  2. Step 2: Convert to fraction form
    9,518.16/13,135.05 = 5,541.92/x
  3. Step 3: Cross multiply
    9,518.16x = 13,135.05 × 5,541.92
  4. Step 4: Simplify right side
    9,518.16x = 72,793,330.62
  5. Step 5: Solve for x
    x = 72,793,330.62/9,518.16
  6. Step 6: Final answer
    x = 7,647.84

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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.