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Finding the Fourth Proportional to 9,849.30, 14,761.63 and 4,920.32

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Solution

The fourth proportional to 9,849.30, 14,761.63 and 4,920.32 is: 7,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.30 : 14,761.63 = 4,920.32 : x
  2. Step 2: Convert to fraction form
    9,849.30/14,761.63 = 4,920.32/x
  3. Step 3: Cross multiply
    9,849.30x = 14,761.63 × 4,920.32
  4. Step 4: Simplify right side
    9,849.30x = 72,631,869.51
  5. Step 5: Solve for x
    x = 72,631,869.51/9,849.30
  6. Step 6: Final answer
    x = 7,374.32

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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.