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Finding the Fourth Proportional to 9,764.14, 14,652.04 and 8,970.08

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Solution

The fourth proportional to 9,764.14, 14,652.04 and 8,970.08 is: 13,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.14 : 14,652.04 = 8,970.08 : x
  2. Step 2: Convert to fraction form
    9,764.14/14,652.04 = 8,970.08/x
  3. Step 3: Cross multiply
    9,764.14x = 14,652.04 × 8,970.08
  4. Step 4: Simplify right side
    9,764.14x = 131,429,970.96
  5. Step 5: Solve for x
    x = 131,429,970.96/9,764.14
  6. Step 6: Final answer
    x = 13,460.48

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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.