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Finding the Fourth Proportional to 9,803.08, 14,714.34 and 7,975.72

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Solution

The fourth proportional to 9,803.08, 14,714.34 and 7,975.72 is: 11,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.08 : 14,714.34 = 7,975.72 : x
  2. Step 2: Convert to fraction form
    9,803.08/14,714.34 = 7,975.72/x
  3. Step 3: Cross multiply
    9,803.08x = 14,714.34 × 7,975.72
  4. Step 4: Simplify right side
    9,803.08x = 117,357,455.82
  5. Step 5: Solve for x
    x = 117,357,455.82/9,803.08
  6. Step 6: Final answer
    x = 11,971.49

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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.