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Finding the Fourth Proportional to 9,788.04, 13,495.86 and 7,426.08

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Solution

The fourth proportional to 9,788.04, 13,495.86 and 7,426.08 is: 10,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.04 : 13,495.86 = 7,426.08 : x
  2. Step 2: Convert to fraction form
    9,788.04/13,495.86 = 7,426.08/x
  3. Step 3: Cross multiply
    9,788.04x = 13,495.86 × 7,426.08
  4. Step 4: Simplify right side
    9,788.04x = 100,221,336.03
  5. Step 5: Solve for x
    x = 100,221,336.03/9,788.04
  6. Step 6: Final answer
    x = 10,239.16

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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.