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Finding the Fourth Proportional to 6,145.76, 8,492.27 and 4,374.29

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Solution

The fourth proportional to 6,145.76, 8,492.27 and 4,374.29 is: 6,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.76 : 8,492.27 = 4,374.29 : x
  2. Step 2: Convert to fraction form
    6,145.76/8,492.27 = 4,374.29/x
  3. Step 3: Cross multiply
    6,145.76x = 8,492.27 × 4,374.29
  4. Step 4: Simplify right side
    6,145.76x = 37,147,651.74
  5. Step 5: Solve for x
    x = 37,147,651.74/6,145.76
  6. Step 6: Final answer
    x = 6,044.44

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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.