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Finding the Fourth Proportional to 9,140.82, 13,702.11 and 3,590.10

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Solution

The fourth proportional to 9,140.82, 13,702.11 and 3,590.10 is: 5,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.82 : 13,702.11 = 3,590.10 : x
  2. Step 2: Convert to fraction form
    9,140.82/13,702.11 = 3,590.10/x
  3. Step 3: Cross multiply
    9,140.82x = 13,702.11 × 3,590.10
  4. Step 4: Simplify right side
    9,140.82x = 49,191,945.11
  5. Step 5: Solve for x
    x = 49,191,945.11/9,140.82
  6. Step 6: Final answer
    x = 5,381.57

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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.