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Finding the Fourth Proportional to 9,442.59, 13,030.11 and 5,408.94

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Solution

The fourth proportional to 9,442.59, 13,030.11 and 5,408.94 is: 7,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.59 : 13,030.11 = 5,408.94 : x
  2. Step 2: Convert to fraction form
    9,442.59/13,030.11 = 5,408.94/x
  3. Step 3: Cross multiply
    9,442.59x = 13,030.11 × 5,408.94
  4. Step 4: Simplify right side
    9,442.59x = 70,479,083.18
  5. Step 5: Solve for x
    x = 70,479,083.18/9,442.59
  6. Step 6: Final answer
    x = 7,463.96

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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.