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Finding the Fourth Proportional to 9,583.95, 14,465.94 and 9,583.95

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Solution

The fourth proportional to 9,583.95, 14,465.94 and 9,583.95 is: 14,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.95 : 14,465.94 = 9,583.95 : x
  2. Step 2: Convert to fraction form
    9,583.95/14,465.94 = 9,583.95/x
  3. Step 3: Cross multiply
    9,583.95x = 14,465.94 × 9,583.95
  4. Step 4: Simplify right side
    9,583.95x = 138,640,845.66
  5. Step 5: Solve for x
    x = 138,640,845.66/9,583.95
  6. Step 6: Final answer
    x = 14,465.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.