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Finding the Fourth Proportional to 6,513.29, 9,774.03 and 4,052.93

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Solution

The fourth proportional to 6,513.29, 9,774.03 and 4,052.93 is: 6,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.29 : 9,774.03 = 4,052.93 : x
  2. Step 2: Convert to fraction form
    6,513.29/9,774.03 = 4,052.93/x
  3. Step 3: Cross multiply
    6,513.29x = 9,774.03 × 4,052.93
  4. Step 4: Simplify right side
    6,513.29x = 39,613,459.41
  5. Step 5: Solve for x
    x = 39,613,459.41/6,513.29
  6. Step 6: Final answer
    x = 6,081.94

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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.