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Finding the Fourth Proportional to 9,888.81, 13,642.72 and 6,105.40

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Solution

The fourth proportional to 9,888.81, 13,642.72 and 6,105.40 is: 8,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.81 : 13,642.72 = 6,105.40 : x
  2. Step 2: Convert to fraction form
    9,888.81/13,642.72 = 6,105.40/x
  3. Step 3: Cross multiply
    9,888.81x = 13,642.72 × 6,105.40
  4. Step 4: Simplify right side
    9,888.81x = 83,294,262.69
  5. Step 5: Solve for x
    x = 83,294,262.69/9,888.81
  6. Step 6: Final answer
    x = 8,423.08

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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.