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Finding the Fourth Proportional to 9,817.96, 13,549.08 and 5,341.90

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Solution

The fourth proportional to 9,817.96, 13,549.08 and 5,341.90 is: 7,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.96 : 13,549.08 = 5,341.90 : x
  2. Step 2: Convert to fraction form
    9,817.96/13,549.08 = 5,341.90/x
  3. Step 3: Cross multiply
    9,817.96x = 13,549.08 × 5,341.90
  4. Step 4: Simplify right side
    9,817.96x = 72,377,830.45
  5. Step 5: Solve for x
    x = 72,377,830.45/9,817.96
  6. Step 6: Final answer
    x = 7,371.98

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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.