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Finding the Fourth Proportional to 9,345.68, 14,014.16 and 3,498.56

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Solution

The fourth proportional to 9,345.68, 14,014.16 and 3,498.56 is: 5,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.68 : 14,014.16 = 3,498.56 : x
  2. Step 2: Convert to fraction form
    9,345.68/14,014.16 = 3,498.56/x
  3. Step 3: Cross multiply
    9,345.68x = 14,014.16 × 3,498.56
  4. Step 4: Simplify right side
    9,345.68x = 49,029,379.61
  5. Step 5: Solve for x
    x = 49,029,379.61/9,345.68
  6. Step 6: Final answer
    x = 5,246.21

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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.