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Finding the Fourth Proportional to 9,101.98, 12,559.85 and 5,123.01

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Solution

The fourth proportional to 9,101.98, 12,559.85 and 5,123.01 is: 7,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.98 : 12,559.85 = 5,123.01 : x
  2. Step 2: Convert to fraction form
    9,101.98/12,559.85 = 5,123.01/x
  3. Step 3: Cross multiply
    9,101.98x = 12,559.85 × 5,123.01
  4. Step 4: Simplify right side
    9,101.98x = 64,344,237.15
  5. Step 5: Solve for x
    x = 64,344,237.15/9,101.98
  6. Step 6: Final answer
    x = 7,069.26

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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.