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Finding the Fourth Proportional to 9,573.26, 14,360.98 and 4,378.46

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Solution

The fourth proportional to 9,573.26, 14,360.98 and 4,378.46 is: 6,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.26 : 14,360.98 = 4,378.46 : x
  2. Step 2: Convert to fraction form
    9,573.26/14,360.98 = 4,378.46/x
  3. Step 3: Cross multiply
    9,573.26x = 14,360.98 × 4,378.46
  4. Step 4: Simplify right side
    9,573.26x = 62,878,976.49
  5. Step 5: Solve for x
    x = 62,878,976.49/9,573.26
  6. Step 6: Final answer
    x = 6,568.19

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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.