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Finding the Fourth Proportional to 9,714.09, 14,534.19 and 6,007.11

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Solution

The fourth proportional to 9,714.09, 14,534.19 and 6,007.11 is: 8,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.09 : 14,534.19 = 6,007.11 : x
  2. Step 2: Convert to fraction form
    9,714.09/14,534.19 = 6,007.11/x
  3. Step 3: Cross multiply
    9,714.09x = 14,534.19 × 6,007.11
  4. Step 4: Simplify right side
    9,714.09x = 87,308,478.09
  5. Step 5: Solve for x
    x = 87,308,478.09/9,714.09
  6. Step 6: Final answer
    x = 8,987.82

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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.