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Finding the Fourth Proportional to 10,087.72, 13,929.86 and 6,785.32

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Solution

The fourth proportional to 10,087.72, 13,929.86 and 6,785.32 is: 9,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.72 : 13,929.86 = 6,785.32 : x
  2. Step 2: Convert to fraction form
    10,087.72/13,929.86 = 6,785.32/x
  3. Step 3: Cross multiply
    10,087.72x = 13,929.86 × 6,785.32
  4. Step 4: Simplify right side
    10,087.72x = 94,518,557.66
  5. Step 5: Solve for x
    x = 94,518,557.66/10,087.72
  6. Step 6: Final answer
    x = 9,369.67

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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.