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Finding the Fourth Proportional to 9,640.95, 14,458.59 and 4,094.25

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Solution

The fourth proportional to 9,640.95, 14,458.59 and 4,094.25 is: 6,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.95 : 14,458.59 = 4,094.25 : x
  2. Step 2: Convert to fraction form
    9,640.95/14,458.59 = 4,094.25/x
  3. Step 3: Cross multiply
    9,640.95x = 14,458.59 × 4,094.25
  4. Step 4: Simplify right side
    9,640.95x = 59,197,082.11
  5. Step 5: Solve for x
    x = 59,197,082.11/9,640.95
  6. Step 6: Final answer
    x = 6,140.17

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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.