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Finding the Fourth Proportional to 9,805.56, 14,709.24 and 4,870.32

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Solution

The fourth proportional to 9,805.56, 14,709.24 and 4,870.32 is: 7,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.56 : 14,709.24 = 4,870.32 : x
  2. Step 2: Convert to fraction form
    9,805.56/14,709.24 = 4,870.32/x
  3. Step 3: Cross multiply
    9,805.56x = 14,709.24 × 4,870.32
  4. Step 4: Simplify right side
    9,805.56x = 71,638,705.76
  5. Step 5: Solve for x
    x = 71,638,705.76/9,805.56
  6. Step 6: Final answer
    x = 7,305.93

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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.