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Finding the Fourth Proportional to 9,578.15, 13,214.76 and 5,800.10

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Solution

The fourth proportional to 9,578.15, 13,214.76 and 5,800.10 is: 8,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.15 : 13,214.76 = 5,800.10 : x
  2. Step 2: Convert to fraction form
    9,578.15/13,214.76 = 5,800.10/x
  3. Step 3: Cross multiply
    9,578.15x = 13,214.76 × 5,800.10
  4. Step 4: Simplify right side
    9,578.15x = 76,646,929.48
  5. Step 5: Solve for x
    x = 76,646,929.48/9,578.15
  6. Step 6: Final answer
    x = 8,002.27

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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.