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Finding the Fourth Proportional to 10,342.76, 14,256.41 and 6,984.50

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Solution

The fourth proportional to 10,342.76, 14,256.41 and 6,984.50 is: 9,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.76 : 14,256.41 = 6,984.50 : x
  2. Step 2: Convert to fraction form
    10,342.76/14,256.41 = 6,984.50/x
  3. Step 3: Cross multiply
    10,342.76x = 14,256.41 × 6,984.50
  4. Step 4: Simplify right side
    10,342.76x = 99,573,789.44
  5. Step 5: Solve for x
    x = 99,573,789.44/10,342.76
  6. Step 6: Final answer
    x = 9,627.40

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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.