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Finding the Fourth Proportional to 9,269.59, 13,895.75 and 4,647.19

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Solution

The fourth proportional to 9,269.59, 13,895.75 and 4,647.19 is: 6,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.59 : 13,895.75 = 4,647.19 : x
  2. Step 2: Convert to fraction form
    9,269.59/13,895.75 = 4,647.19/x
  3. Step 3: Cross multiply
    9,269.59x = 13,895.75 × 4,647.19
  4. Step 4: Simplify right side
    9,269.59x = 64,576,167.21
  5. Step 5: Solve for x
    x = 64,576,167.21/9,269.59
  6. Step 6: Final answer
    x = 6,966.45

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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.