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Finding the Fourth Proportional to 9,714.91, 14,558.56 and 4,436.95

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Solution

The fourth proportional to 9,714.91, 14,558.56 and 4,436.95 is: 6,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.91 : 14,558.56 = 4,436.95 : x
  2. Step 2: Convert to fraction form
    9,714.91/14,558.56 = 4,436.95/x
  3. Step 3: Cross multiply
    9,714.91x = 14,558.56 × 4,436.95
  4. Step 4: Simplify right side
    9,714.91x = 64,595,602.79
  5. Step 5: Solve for x
    x = 64,595,602.79/9,714.91
  6. Step 6: Final answer
    x = 6,649.12

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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.