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Finding the Fourth Proportional to 9,594.31, 14,370.63 and 4,653.56

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Solution

The fourth proportional to 9,594.31, 14,370.63 and 4,653.56 is: 6,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.31 : 14,370.63 = 4,653.56 : x
  2. Step 2: Convert to fraction form
    9,594.31/14,370.63 = 4,653.56/x
  3. Step 3: Cross multiply
    9,594.31x = 14,370.63 × 4,653.56
  4. Step 4: Simplify right side
    9,594.31x = 66,874,624.87
  5. Step 5: Solve for x
    x = 66,874,624.87/9,594.31
  6. Step 6: Final answer
    x = 6,970.24

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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.