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Finding the Fourth Proportional to 9,718.51, 14,505.62 and 8,378.57

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Solution

The fourth proportional to 9,718.51, 14,505.62 and 8,378.57 is: 12,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.51 : 14,505.62 = 8,378.57 : x
  2. Step 2: Convert to fraction form
    9,718.51/14,505.62 = 8,378.57/x
  3. Step 3: Cross multiply
    9,718.51x = 14,505.62 × 8,378.57
  4. Step 4: Simplify right side
    9,718.51x = 121,536,269.56
  5. Step 5: Solve for x
    x = 121,536,269.56/9,718.51
  6. Step 6: Final answer
    x = 12,505.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.