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Finding the Fourth Proportional to 9,989.51, 13,788.74 and 6,449.99

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Solution

The fourth proportional to 9,989.51, 13,788.74 and 6,449.99 is: 8,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.51 : 13,788.74 = 6,449.99 : x
  2. Step 2: Convert to fraction form
    9,989.51/13,788.74 = 6,449.99/x
  3. Step 3: Cross multiply
    9,989.51x = 13,788.74 × 6,449.99
  4. Step 4: Simplify right side
    9,989.51x = 88,937,182.29
  5. Step 5: Solve for x
    x = 88,937,182.29/9,989.51
  6. Step 6: Final answer
    x = 8,903.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.