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Finding the Fourth Proportional to 9,403.21, 12,975.93 and 5,424.09

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Solution

The fourth proportional to 9,403.21, 12,975.93 and 5,424.09 is: 7,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.21 : 12,975.93 = 5,424.09 : x
  2. Step 2: Convert to fraction form
    9,403.21/12,975.93 = 5,424.09/x
  3. Step 3: Cross multiply
    9,403.21x = 12,975.93 × 5,424.09
  4. Step 4: Simplify right side
    9,403.21x = 70,382,547.27
  5. Step 5: Solve for x
    x = 70,382,547.27/9,403.21
  6. Step 6: Final answer
    x = 7,484.95

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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.