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Finding the Fourth Proportional to 9,442.80, 13,030.04 and 5,463.14

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Solution

The fourth proportional to 9,442.80, 13,030.04 and 5,463.14 is: 7,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.80 : 13,030.04 = 5,463.14 : x
  2. Step 2: Convert to fraction form
    9,442.80/13,030.04 = 5,463.14/x
  3. Step 3: Cross multiply
    9,442.80x = 13,030.04 × 5,463.14
  4. Step 4: Simplify right side
    9,442.80x = 71,184,881.23
  5. Step 5: Solve for x
    x = 71,184,881.23/9,442.80
  6. Step 6: Final answer
    x = 7,538.54

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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.