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Finding the Fourth Proportional to 9,403.76, 12,978.57 and 5,424.10

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Solution

The fourth proportional to 9,403.76, 12,978.57 and 5,424.10 is: 7,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.76 : 12,978.57 = 5,424.10 : x
  2. Step 2: Convert to fraction form
    9,403.76/12,978.57 = 5,424.10/x
  3. Step 3: Cross multiply
    9,403.76x = 12,978.57 × 5,424.10
  4. Step 4: Simplify right side
    9,403.76x = 70,397,049.43
  5. Step 5: Solve for x
    x = 70,397,049.43/9,403.76
  6. Step 6: Final answer
    x = 7,486.05

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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.