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Finding the Fourth Proportional to 9,354.94, 14,010 and 5,185.06

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Solution

The fourth proportional to 9,354.94, 14,010 and 5,185.06 is: 7,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.94 : 14,010 = 5,185.06 : x
  2. Step 2: Convert to fraction form
    9,354.94/14,010 = 5,185.06/x
  3. Step 3: Cross multiply
    9,354.94x = 14,010 × 5,185.06
  4. Step 4: Simplify right side
    9,354.94x = 72,642,690.60
  5. Step 5: Solve for x
    x = 72,642,690.60/9,354.94
  6. Step 6: Final answer
    x = 7,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.