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Finding the Fourth Proportional to 10,465.60, 14,441.87 and 9,629.68

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Solution

The fourth proportional to 10,465.60, 14,441.87 and 9,629.68 is: 13,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.60 : 14,441.87 = 9,629.68 : x
  2. Step 2: Convert to fraction form
    10,465.60/14,441.87 = 9,629.68/x
  3. Step 3: Cross multiply
    10,465.60x = 14,441.87 × 9,629.68
  4. Step 4: Simplify right side
    10,465.60x = 139,070,586.70
  5. Step 5: Solve for x
    x = 139,070,586.70/10,465.60
  6. Step 6: Final answer
    x = 13,288.35

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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.