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Finding the Fourth Proportional to 9,557.60, 14,341.10 and 4,296.33

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Solution

The fourth proportional to 9,557.60, 14,341.10 and 4,296.33 is: 6,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.60 : 14,341.10 = 4,296.33 : x
  2. Step 2: Convert to fraction form
    9,557.60/14,341.10 = 4,296.33/x
  3. Step 3: Cross multiply
    9,557.60x = 14,341.10 × 4,296.33
  4. Step 4: Simplify right side
    9,557.60x = 61,614,022.90
  5. Step 5: Solve for x
    x = 61,614,022.90/9,557.60
  6. Step 6: Final answer
    x = 6,446.60

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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.