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Finding the Fourth Proportional to 9,442.82, 13,030.12 and 5,465.18

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Solution

The fourth proportional to 9,442.82, 13,030.12 and 5,465.18 is: 7,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.82 : 13,030.12 = 5,465.18 : x
  2. Step 2: Convert to fraction form
    9,442.82/13,030.12 = 5,465.18/x
  3. Step 3: Cross multiply
    9,442.82x = 13,030.12 × 5,465.18
  4. Step 4: Simplify right side
    9,442.82x = 71,211,951.22
  5. Step 5: Solve for x
    x = 71,211,951.22/9,442.82
  6. Step 6: Final answer
    x = 7,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.