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Finding the Fourth Proportional to 9,914.69, 14,686.52 and 9,804.12

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Solution

The fourth proportional to 9,914.69, 14,686.52 and 9,804.12 is: 14,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.69 : 14,686.52 = 9,804.12 : x
  2. Step 2: Convert to fraction form
    9,914.69/14,686.52 = 9,804.12/x
  3. Step 3: Cross multiply
    9,914.69x = 14,686.52 × 9,804.12
  4. Step 4: Simplify right side
    9,914.69x = 143,988,355.44
  5. Step 5: Solve for x
    x = 143,988,355.44/9,914.69
  6. Step 6: Final answer
    x = 14,522.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.