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Finding the Fourth Proportional to 9,697.12, 14,518.26 and 6,178.48

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Solution

The fourth proportional to 9,697.12, 14,518.26 and 6,178.48 is: 9,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.12 : 14,518.26 = 6,178.48 : x
  2. Step 2: Convert to fraction form
    9,697.12/14,518.26 = 6,178.48/x
  3. Step 3: Cross multiply
    9,697.12x = 14,518.26 × 6,178.48
  4. Step 4: Simplify right side
    9,697.12x = 89,700,779.04
  5. Step 5: Solve for x
    x = 89,700,779.04/9,697.12
  6. Step 6: Final answer
    x = 9,250.25

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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.