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Finding the Fourth Proportional to 9,146.61, 13,716.54 and 4,465.26

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Solution

The fourth proportional to 9,146.61, 13,716.54 and 4,465.26 is: 6,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.61 : 13,716.54 = 4,465.26 : x
  2. Step 2: Convert to fraction form
    9,146.61/13,716.54 = 4,465.26/x
  3. Step 3: Cross multiply
    9,146.61x = 13,716.54 × 4,465.26
  4. Step 4: Simplify right side
    9,146.61x = 61,247,917.40
  5. Step 5: Solve for x
    x = 61,247,917.40/9,146.61
  6. Step 6: Final answer
    x = 6,696.24

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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.