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Finding the Fourth Proportional to 9,471.48, 14,206.70 and 2,897.66

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Solution

The fourth proportional to 9,471.48, 14,206.70 and 2,897.66 is: 4,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.48 : 14,206.70 = 2,897.66 : x
  2. Step 2: Convert to fraction form
    9,471.48/14,206.70 = 2,897.66/x
  3. Step 3: Cross multiply
    9,471.48x = 14,206.70 × 2,897.66
  4. Step 4: Simplify right side
    9,471.48x = 41,166,186.32
  5. Step 5: Solve for x
    x = 41,166,186.32/9,471.48
  6. Step 6: Final answer
    x = 4,346.33

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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.