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Finding the Fourth Proportional to 9,894.66, 14,845.04 and 4,051.74

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Solution

The fourth proportional to 9,894.66, 14,845.04 and 4,051.74 is: 6,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.66 : 14,845.04 = 4,051.74 : x
  2. Step 2: Convert to fraction form
    9,894.66/14,845.04 = 4,051.74/x
  3. Step 3: Cross multiply
    9,894.66x = 14,845.04 × 4,051.74
  4. Step 4: Simplify right side
    9,894.66x = 60,148,242.37
  5. Step 5: Solve for x
    x = 60,148,242.37/9,894.66
  6. Step 6: Final answer
    x = 6,078.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.