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Finding the Fourth Proportional to 9,433.74, 13,018.82 and 5,184.93

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Solution

The fourth proportional to 9,433.74, 13,018.82 and 5,184.93 is: 7,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.74 : 13,018.82 = 5,184.93 : x
  2. Step 2: Convert to fraction form
    9,433.74/13,018.82 = 5,184.93/x
  3. Step 3: Cross multiply
    9,433.74x = 13,018.82 × 5,184.93
  4. Step 4: Simplify right side
    9,433.74x = 67,501,670.38
  5. Step 5: Solve for x
    x = 67,501,670.38/9,433.74
  6. Step 6: Final answer
    x = 7,155.35

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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.