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Finding the Fourth Proportional to 9,779.55, 14,672.03 and 3,210.32

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Solution

The fourth proportional to 9,779.55, 14,672.03 and 3,210.32 is: 4,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.55 : 14,672.03 = 3,210.32 : x
  2. Step 2: Convert to fraction form
    9,779.55/14,672.03 = 3,210.32/x
  3. Step 3: Cross multiply
    9,779.55x = 14,672.03 × 3,210.32
  4. Step 4: Simplify right side
    9,779.55x = 47,101,821.94
  5. Step 5: Solve for x
    x = 47,101,821.94/9,779.55
  6. Step 6: Final answer
    x = 4,816.36

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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.