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Finding the Fourth Proportional to 9,364.88, 12,923.54 and 5,116

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Solution

The fourth proportional to 9,364.88, 12,923.54 and 5,116 is: 7,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.88 : 12,923.54 = 5,116 : x
  2. Step 2: Convert to fraction form
    9,364.88/12,923.54 = 5,116/x
  3. Step 3: Cross multiply
    9,364.88x = 12,923.54 × 5,116
  4. Step 4: Simplify right side
    9,364.88x = 66,116,830.64
  5. Step 5: Solve for x
    x = 66,116,830.64/9,364.88
  6. Step 6: Final answer
    x = 7,060.08

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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.