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Finding the Fourth Proportional to 9,261.59, 13,888.65 and 3,416.90

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Solution

The fourth proportional to 9,261.59, 13,888.65 and 3,416.90 is: 5,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.59 : 13,888.65 = 3,416.90 : x
  2. Step 2: Convert to fraction form
    9,261.59/13,888.65 = 3,416.90/x
  3. Step 3: Cross multiply
    9,261.59x = 13,888.65 × 3,416.90
  4. Step 4: Simplify right side
    9,261.59x = 47,456,128.19
  5. Step 5: Solve for x
    x = 47,456,128.19/9,261.59
  6. Step 6: Final answer
    x = 5,123.97

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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.