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Finding the Fourth Proportional to 9,364.34, 14,046.99 and 3,124.10

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Solution

The fourth proportional to 9,364.34, 14,046.99 and 3,124.10 is: 4,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.34 : 14,046.99 = 3,124.10 : x
  2. Step 2: Convert to fraction form
    9,364.34/14,046.99 = 3,124.10/x
  3. Step 3: Cross multiply
    9,364.34x = 14,046.99 × 3,124.10
  4. Step 4: Simplify right side
    9,364.34x = 43,884,224.86
  5. Step 5: Solve for x
    x = 43,884,224.86/9,364.34
  6. Step 6: Final answer
    x = 4,686.31

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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.