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Finding the Fourth Proportional to 9,779.56, 14,670.25 and 3,541.14

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Solution

The fourth proportional to 9,779.56, 14,670.25 and 3,541.14 is: 5,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.56 : 14,670.25 = 3,541.14 : x
  2. Step 2: Convert to fraction form
    9,779.56/14,670.25 = 3,541.14/x
  3. Step 3: Cross multiply
    9,779.56x = 14,670.25 × 3,541.14
  4. Step 4: Simplify right side
    9,779.56x = 51,949,409.09
  5. Step 5: Solve for x
    x = 51,949,409.09/9,779.56
  6. Step 6: Final answer
    x = 5,312.04

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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.