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Finding the Fourth Proportional to 9,788.40, 13,509.18 and 6,434.01

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Solution

The fourth proportional to 9,788.40, 13,509.18 and 6,434.01 is: 8,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.40 : 13,509.18 = 6,434.01 : x
  2. Step 2: Convert to fraction form
    9,788.40/13,509.18 = 6,434.01/x
  3. Step 3: Cross multiply
    9,788.40x = 13,509.18 × 6,434.01
  4. Step 4: Simplify right side
    9,788.40x = 86,918,199.21
  5. Step 5: Solve for x
    x = 86,918,199.21/9,788.40
  6. Step 6: Final answer
    x = 8,879.71

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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.