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Finding the Fourth Proportional to 9,056.49, 12,498.47 and 6,814.37

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Solution

The fourth proportional to 9,056.49, 12,498.47 and 6,814.37 is: 9,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.49 : 12,498.47 = 6,814.37 : x
  2. Step 2: Convert to fraction form
    9,056.49/12,498.47 = 6,814.37/x
  3. Step 3: Cross multiply
    9,056.49x = 12,498.47 × 6,814.37
  4. Step 4: Simplify right side
    9,056.49x = 85,169,199.01
  5. Step 5: Solve for x
    x = 85,169,199.01/9,056.49
  6. Step 6: Final answer
    x = 9,404.22

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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.