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Finding the Fourth Proportional to 9,680.56, 13,359.95 and 5,702.46

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Solution

The fourth proportional to 9,680.56, 13,359.95 and 5,702.46 is: 7,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.56 : 13,359.95 = 5,702.46 : x
  2. Step 2: Convert to fraction form
    9,680.56/13,359.95 = 5,702.46/x
  3. Step 3: Cross multiply
    9,680.56x = 13,359.95 × 5,702.46
  4. Step 4: Simplify right side
    9,680.56x = 76,184,580.48
  5. Step 5: Solve for x
    x = 76,184,580.48/9,680.56
  6. Step 6: Final answer
    x = 7,869.85

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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.