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Finding the Fourth Proportional to 9,656.83, 14,477.04 and 9,197.56

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Solution

The fourth proportional to 9,656.83, 14,477.04 and 9,197.56 is: 13,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.83 : 14,477.04 = 9,197.56 : x
  2. Step 2: Convert to fraction form
    9,656.83/14,477.04 = 9,197.56/x
  3. Step 3: Cross multiply
    9,656.83x = 14,477.04 × 9,197.56
  4. Step 4: Simplify right side
    9,656.83x = 133,153,444.02
  5. Step 5: Solve for x
    x = 133,153,444.02/9,656.83
  6. Step 6: Final answer
    x = 13,788.53

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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.