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Finding the Fourth Proportional to 9,657.96, 14,400.44 and 9,483

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Solution

The fourth proportional to 9,657.96, 14,400.44 and 9,483 is: 14,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.96 : 14,400.44 = 9,483 : x
  2. Step 2: Convert to fraction form
    9,657.96/14,400.44 = 9,483/x
  3. Step 3: Cross multiply
    9,657.96x = 14,400.44 × 9,483
  4. Step 4: Simplify right side
    9,657.96x = 136,559,325.11
  5. Step 5: Solve for x
    x = 136,559,325.11/9,657.96
  6. Step 6: Final answer
    x = 14,139.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.