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Finding the Fourth Proportional to 9,394.16, 14,093.12 and 4,200

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Solution

The fourth proportional to 9,394.16, 14,093.12 and 4,200 is: 6,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.16 : 14,093.12 = 4,200 : x
  2. Step 2: Convert to fraction form
    9,394.16/14,093.12 = 4,200/x
  3. Step 3: Cross multiply
    9,394.16x = 14,093.12 × 4,200
  4. Step 4: Simplify right side
    9,394.16x = 59,191,104
  5. Step 5: Solve for x
    x = 59,191,104/9,394.16
  6. Step 6: Final answer
    x = 6,300.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.