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Finding the Fourth Proportional to 9,603.60, 14,381.29 and 6,082.93

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Solution

The fourth proportional to 9,603.60, 14,381.29 and 6,082.93 is: 9,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.60 : 14,381.29 = 6,082.93 : x
  2. Step 2: Convert to fraction form
    9,603.60/14,381.29 = 6,082.93/x
  3. Step 3: Cross multiply
    9,603.60x = 14,381.29 × 6,082.93
  4. Step 4: Simplify right side
    9,603.60x = 87,480,380.38
  5. Step 5: Solve for x
    x = 87,480,380.38/9,603.60
  6. Step 6: Final answer
    x = 9,109.12

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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.