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Finding the Fourth Proportional to 9,437.70, 13,022.59 and 5,188.94

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Solution

The fourth proportional to 9,437.70, 13,022.59 and 5,188.94 is: 7,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.70 : 13,022.59 = 5,188.94 : x
  2. Step 2: Convert to fraction form
    9,437.70/13,022.59 = 5,188.94/x
  3. Step 3: Cross multiply
    9,437.70x = 13,022.59 × 5,188.94
  4. Step 4: Simplify right side
    9,437.70x = 67,573,438.15
  5. Step 5: Solve for x
    x = 67,573,438.15/9,437.70
  6. Step 6: Final answer
    x = 7,159.95

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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.