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Finding the Fourth Proportional to 9,545.93, 14,323.19 and 5,158.25

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Solution

The fourth proportional to 9,545.93, 14,323.19 and 5,158.25 is: 7,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.93 : 14,323.19 = 5,158.25 : x
  2. Step 2: Convert to fraction form
    9,545.93/14,323.19 = 5,158.25/x
  3. Step 3: Cross multiply
    9,545.93x = 14,323.19 × 5,158.25
  4. Step 4: Simplify right side
    9,545.93x = 73,882,497.41
  5. Step 5: Solve for x
    x = 73,882,497.41/9,545.93
  6. Step 6: Final answer
    x = 7,739.69

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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.