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Finding the Fourth Proportional to 9,894.84, 14,841 and 4,347.12

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Solution

The fourth proportional to 9,894.84, 14,841 and 4,347.12 is: 6,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.84 : 14,841 = 4,347.12 : x
  2. Step 2: Convert to fraction form
    9,894.84/14,841 = 4,347.12/x
  3. Step 3: Cross multiply
    9,894.84x = 14,841 × 4,347.12
  4. Step 4: Simplify right side
    9,894.84x = 64,515,607.92
  5. Step 5: Solve for x
    x = 64,515,607.92/9,894.84
  6. Step 6: Final answer
    x = 6,520.13

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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.