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Finding the Fourth Proportional to 9,951.40, 13,732.35 and 5,702.14

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Solution

The fourth proportional to 9,951.40, 13,732.35 and 5,702.14 is: 7,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.40 : 13,732.35 = 5,702.14 : x
  2. Step 2: Convert to fraction form
    9,951.40/13,732.35 = 5,702.14/x
  3. Step 3: Cross multiply
    9,951.40x = 13,732.35 × 5,702.14
  4. Step 4: Simplify right side
    9,951.40x = 78,303,782.23
  5. Step 5: Solve for x
    x = 78,303,782.23/9,951.40
  6. Step 6: Final answer
    x = 7,868.62

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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.