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Finding the Fourth Proportional to 9,458.95, 13,053.66 and 5,210.46

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Solution

The fourth proportional to 9,458.95, 13,053.66 and 5,210.46 is: 7,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.95 : 13,053.66 = 5,210.46 : x
  2. Step 2: Convert to fraction form
    9,458.95/13,053.66 = 5,210.46/x
  3. Step 3: Cross multiply
    9,458.95x = 13,053.66 × 5,210.46
  4. Step 4: Simplify right side
    9,458.95x = 68,015,573.28
  5. Step 5: Solve for x
    x = 68,015,573.28/9,458.95
  6. Step 6: Final answer
    x = 7,190.61

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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.