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Finding the Fourth Proportional to 9,702.25, 13,389.20 and 5,510.59

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Solution

The fourth proportional to 9,702.25, 13,389.20 and 5,510.59 is: 7,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.25 : 13,389.20 = 5,510.59 : x
  2. Step 2: Convert to fraction form
    9,702.25/13,389.20 = 5,510.59/x
  3. Step 3: Cross multiply
    9,702.25x = 13,389.20 × 5,510.59
  4. Step 4: Simplify right side
    9,702.25x = 73,782,391.63
  5. Step 5: Solve for x
    x = 73,782,391.63/9,702.25
  6. Step 6: Final answer
    x = 7,604.67

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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.