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Finding the Fourth Proportional to 9,442.58, 14,151.11 and 3,596

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Solution

The fourth proportional to 9,442.58, 14,151.11 and 3,596 is: 5,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.58 : 14,151.11 = 3,596 : x
  2. Step 2: Convert to fraction form
    9,442.58/14,151.11 = 3,596/x
  3. Step 3: Cross multiply
    9,442.58x = 14,151.11 × 3,596
  4. Step 4: Simplify right side
    9,442.58x = 50,887,373.58
  5. Step 5: Solve for x
    x = 50,887,373.58/9,442.58
  6. Step 6: Final answer
    x = 5,389.14

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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.