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Finding the Fourth Proportional to 9,535.14, 14,302.92 and 6,712.44

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Solution

The fourth proportional to 9,535.14, 14,302.92 and 6,712.44 is: 10,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.14 : 14,302.92 = 6,712.44 : x
  2. Step 2: Convert to fraction form
    9,535.14/14,302.92 = 6,712.44/x
  3. Step 3: Cross multiply
    9,535.14x = 14,302.92 × 6,712.44
  4. Step 4: Simplify right side
    9,535.14x = 96,007,492.32
  5. Step 5: Solve for x
    x = 96,007,492.32/9,535.14
  6. Step 6: Final answer
    x = 10,068.81

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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.