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Finding the Fourth Proportional to 9,442.60, 13,030.46 and 5,193.64

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Solution

The fourth proportional to 9,442.60, 13,030.46 and 5,193.64 is: 7,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.60 : 13,030.46 = 5,193.64 : x
  2. Step 2: Convert to fraction form
    9,442.60/13,030.46 = 5,193.64/x
  3. Step 3: Cross multiply
    9,442.60x = 13,030.46 × 5,193.64
  4. Step 4: Simplify right side
    9,442.60x = 67,675,518.27
  5. Step 5: Solve for x
    x = 67,675,518.27/9,442.60
  6. Step 6: Final answer
    x = 7,167.04

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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.