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Finding the Fourth Proportional to 9,402.86, 14,106.15 and 4,208.78

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Solution

The fourth proportional to 9,402.86, 14,106.15 and 4,208.78 is: 6,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.86 : 14,106.15 = 4,208.78 : x
  2. Step 2: Convert to fraction form
    9,402.86/14,106.15 = 4,208.78/x
  3. Step 3: Cross multiply
    9,402.86x = 14,106.15 × 4,208.78
  4. Step 4: Simplify right side
    9,402.86x = 59,369,682.00
  5. Step 5: Solve for x
    x = 59,369,682.00/9,402.86
  6. Step 6: Final answer
    x = 6,314.00

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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.