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Finding the Fourth Proportional to 9,894.30, 14,828.74 and 4,043.94

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Solution

The fourth proportional to 9,894.30, 14,828.74 and 4,043.94 is: 6,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.30 : 14,828.74 = 4,043.94 : x
  2. Step 2: Convert to fraction form
    9,894.30/14,828.74 = 4,043.94/x
  3. Step 3: Cross multiply
    9,894.30x = 14,828.74 × 4,043.94
  4. Step 4: Simplify right side
    9,894.30x = 59,966,534.84
  5. Step 5: Solve for x
    x = 59,966,534.84/9,894.30
  6. Step 6: Final answer
    x = 6,060.72

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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.