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Finding the Fourth Proportional to 10,021.43, 13,828.64 and 6,784.67

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Solution

The fourth proportional to 10,021.43, 13,828.64 and 6,784.67 is: 9,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.43 : 13,828.64 = 6,784.67 : x
  2. Step 2: Convert to fraction form
    10,021.43/13,828.64 = 6,784.67/x
  3. Step 3: Cross multiply
    10,021.43x = 13,828.64 × 6,784.67
  4. Step 4: Simplify right side
    10,021.43x = 93,822,681.81
  5. Step 5: Solve for x
    x = 93,822,681.81/10,021.43
  6. Step 6: Final answer
    x = 9,362.20

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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.