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Finding the Fourth Proportional to 9,714.06, 14,549.22 and 4,509

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Solution

The fourth proportional to 9,714.06, 14,549.22 and 4,509 is: 6,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.06 : 14,549.22 = 4,509 : x
  2. Step 2: Convert to fraction form
    9,714.06/14,549.22 = 4,509/x
  3. Step 3: Cross multiply
    9,714.06x = 14,549.22 × 4,509
  4. Step 4: Simplify right side
    9,714.06x = 65,602,432.98
  5. Step 5: Solve for x
    x = 65,602,432.98/9,714.06
  6. Step 6: Final answer
    x = 6,753.35

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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.