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Finding the Fourth Proportional to 9,910.04, 14,856.81 and 4,642.47

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Solution

The fourth proportional to 9,910.04, 14,856.81 and 4,642.47 is: 6,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.04 : 14,856.81 = 4,642.47 : x
  2. Step 2: Convert to fraction form
    9,910.04/14,856.81 = 4,642.47/x
  3. Step 3: Cross multiply
    9,910.04x = 14,856.81 × 4,642.47
  4. Step 4: Simplify right side
    9,910.04x = 68,972,294.72
  5. Step 5: Solve for x
    x = 68,972,294.72/9,910.04
  6. Step 6: Final answer
    x = 6,959.84

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