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Finding the Fourth Proportional to 6,440.58, 9,642.62 and 4,094.76

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Solution

The fourth proportional to 6,440.58, 9,642.62 and 4,094.76 is: 6,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.58 : 9,642.62 = 4,094.76 : x
  2. Step 2: Convert to fraction form
    6,440.58/9,642.62 = 4,094.76/x
  3. Step 3: Cross multiply
    6,440.58x = 9,642.62 × 4,094.76
  4. Step 4: Simplify right side
    6,440.58x = 39,484,214.67
  5. Step 5: Solve for x
    x = 39,484,214.67/6,440.58
  6. Step 6: Final answer
    x = 6,130.54

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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.