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Finding the Fourth Proportional to 9,714.32, 14,549.55 and 6,805.61

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Solution

The fourth proportional to 9,714.32, 14,549.55 and 6,805.61 is: 10,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.32 : 14,549.55 = 6,805.61 : x
  2. Step 2: Convert to fraction form
    9,714.32/14,549.55 = 6,805.61/x
  3. Step 3: Cross multiply
    9,714.32x = 14,549.55 × 6,805.61
  4. Step 4: Simplify right side
    9,714.32x = 99,018,490.23
  5. Step 5: Solve for x
    x = 99,018,490.23/9,714.32
  6. Step 6: Final answer
    x = 10,193.05

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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.