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Finding the Fourth Proportional to 9,984.08, 14,971.78 and 5,303.07

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Solution

The fourth proportional to 9,984.08, 14,971.78 and 5,303.07 is: 7,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.08 : 14,971.78 = 5,303.07 : x
  2. Step 2: Convert to fraction form
    9,984.08/14,971.78 = 5,303.07/x
  3. Step 3: Cross multiply
    9,984.08x = 14,971.78 × 5,303.07
  4. Step 4: Simplify right side
    9,984.08x = 79,396,397.36
  5. Step 5: Solve for x
    x = 79,396,397.36/9,984.08
  6. Step 6: Final answer
    x = 7,952.30

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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.