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Finding the Fourth Proportional to 6,665.34, 9,196.47 and 4,537.02

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Solution

The fourth proportional to 6,665.34, 9,196.47 and 4,537.02 is: 6,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.34 : 9,196.47 = 4,537.02 : x
  2. Step 2: Convert to fraction form
    6,665.34/9,196.47 = 4,537.02/x
  3. Step 3: Cross multiply
    6,665.34x = 9,196.47 × 4,537.02
  4. Step 4: Simplify right side
    6,665.34x = 41,724,568.32
  5. Step 5: Solve for x
    x = 41,724,568.32/6,665.34
  6. Step 6: Final answer
    x = 6,259.93

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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.