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Finding the Fourth Proportional to 9,888.66, 14,832.64 and 3,314.67

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Solution

The fourth proportional to 9,888.66, 14,832.64 and 3,314.67 is: 4,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.66 : 14,832.64 = 3,314.67 : x
  2. Step 2: Convert to fraction form
    9,888.66/14,832.64 = 3,314.67/x
  3. Step 3: Cross multiply
    9,888.66x = 14,832.64 × 3,314.67
  4. Step 4: Simplify right side
    9,888.66x = 49,165,348.11
  5. Step 5: Solve for x
    x = 49,165,348.11/9,888.66
  6. Step 6: Final answer
    x = 4,971.89

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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.