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Finding the Fourth Proportional to 9,342.86, 14,023.49 and 6,870.74

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Solution

The fourth proportional to 9,342.86, 14,023.49 and 6,870.74 is: 10,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.86 : 14,023.49 = 6,870.74 : x
  2. Step 2: Convert to fraction form
    9,342.86/14,023.49 = 6,870.74/x
  3. Step 3: Cross multiply
    9,342.86x = 14,023.49 × 6,870.74
  4. Step 4: Simplify right side
    9,342.86x = 96,351,649.21
  5. Step 5: Solve for x
    x = 96,351,649.21/9,342.86
  6. Step 6: Final answer
    x = 10,312.87

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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.