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Finding the Fourth Proportional to 9,894.47, 14,841.89 and 4,628.06

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Solution

The fourth proportional to 9,894.47, 14,841.89 and 4,628.06 is: 6,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.47 : 14,841.89 = 4,628.06 : x
  2. Step 2: Convert to fraction form
    9,894.47/14,841.89 = 4,628.06/x
  3. Step 3: Cross multiply
    9,894.47x = 14,841.89 × 4,628.06
  4. Step 4: Simplify right side
    9,894.47x = 68,689,060.08
  5. Step 5: Solve for x
    x = 68,689,060.08/9,894.47
  6. Step 6: Final answer
    x = 6,942.17

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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.