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Finding the Fourth Proportional to 9,578.96, 14,356.25 and 4,308.33

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Solution

The fourth proportional to 9,578.96, 14,356.25 and 4,308.33 is: 6,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.96 : 14,356.25 = 4,308.33 : x
  2. Step 2: Convert to fraction form
    9,578.96/14,356.25 = 4,308.33/x
  3. Step 3: Cross multiply
    9,578.96x = 14,356.25 × 4,308.33
  4. Step 4: Simplify right side
    9,578.96x = 61,851,462.56
  5. Step 5: Solve for x
    x = 61,851,462.56/9,578.96
  6. Step 6: Final answer
    x = 6,457.02

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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.