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Finding the Fourth Proportional to 6,434.40, 8,875.26 and 5,106

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Solution

The fourth proportional to 6,434.40, 8,875.26 and 5,106 is: 7,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.40 : 8,875.26 = 5,106 : x
  2. Step 2: Convert to fraction form
    6,434.40/8,875.26 = 5,106/x
  3. Step 3: Cross multiply
    6,434.40x = 8,875.26 × 5,106
  4. Step 4: Simplify right side
    6,434.40x = 45,317,077.56
  5. Step 5: Solve for x
    x = 45,317,077.56/6,434.40
  6. Step 6: Final answer
    x = 7,042.94

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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.