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Finding the Fourth Proportional to 9,442.72, 13,030.16 and 5,464.09

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Solution

The fourth proportional to 9,442.72, 13,030.16 and 5,464.09 is: 7,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.72 : 13,030.16 = 5,464.09 : x
  2. Step 2: Convert to fraction form
    9,442.72/13,030.16 = 5,464.09/x
  3. Step 3: Cross multiply
    9,442.72x = 13,030.16 × 5,464.09
  4. Step 4: Simplify right side
    9,442.72x = 71,197,966.95
  5. Step 5: Solve for x
    x = 71,197,966.95/9,442.72
  6. Step 6: Final answer
    x = 7,539.98

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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.