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Finding the Fourth Proportional to 9,442.76, 13,030.18 and 5,251.24

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Solution

The fourth proportional to 9,442.76, 13,030.18 and 5,251.24 is: 7,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.76 : 13,030.18 = 5,251.24 : x
  2. Step 2: Convert to fraction form
    9,442.76/13,030.18 = 5,251.24/x
  3. Step 3: Cross multiply
    9,442.76x = 13,030.18 × 5,251.24
  4. Step 4: Simplify right side
    9,442.76x = 68,424,602.42
  5. Step 5: Solve for x
    x = 68,424,602.42/9,442.76
  6. Step 6: Final answer
    x = 7,246.25

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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.