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Finding the Fourth Proportional to 9,117.12, 13,651.68 and 4,488

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Solution

The fourth proportional to 9,117.12, 13,651.68 and 4,488 is: 6,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.12 : 13,651.68 = 4,488 : x
  2. Step 2: Convert to fraction form
    9,117.12/13,651.68 = 4,488/x
  3. Step 3: Cross multiply
    9,117.12x = 13,651.68 × 4,488
  4. Step 4: Simplify right side
    9,117.12x = 61,268,739.84
  5. Step 5: Solve for x
    x = 61,268,739.84/9,117.12
  6. Step 6: Final answer
    x = 6,720.19

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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.