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Finding the Fourth Proportional to 9,254.29, 12,771.65 and 5,898.59

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Solution

The fourth proportional to 9,254.29, 12,771.65 and 5,898.59 is: 8,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.29 : 12,771.65 = 5,898.59 : x
  2. Step 2: Convert to fraction form
    9,254.29/12,771.65 = 5,898.59/x
  3. Step 3: Cross multiply
    9,254.29x = 12,771.65 × 5,898.59
  4. Step 4: Simplify right side
    9,254.29x = 75,334,697.48
  5. Step 5: Solve for x
    x = 75,334,697.48/9,254.29
  6. Step 6: Final answer
    x = 8,140.52

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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.