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Finding the Fourth Proportional to 10,465.10, 14,441.18 and 9,629.18

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Solution

The fourth proportional to 10,465.10, 14,441.18 and 9,629.18 is: 13,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.10 : 14,441.18 = 9,629.18 : x
  2. Step 2: Convert to fraction form
    10,465.10/14,441.18 = 9,629.18/x
  3. Step 3: Cross multiply
    10,465.10x = 14,441.18 × 9,629.18
  4. Step 4: Simplify right side
    10,465.10x = 139,056,721.63
  5. Step 5: Solve for x
    x = 139,056,721.63/10,465.10
  6. Step 6: Final answer
    x = 13,287.66

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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.