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Finding the Fourth Proportional to 9,705.64, 14,549.82 and 4,508.68

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Solution

The fourth proportional to 9,705.64, 14,549.82 and 4,508.68 is: 6,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.64 : 14,549.82 = 4,508.68 : x
  2. Step 2: Convert to fraction form
    9,705.64/14,549.82 = 4,508.68/x
  3. Step 3: Cross multiply
    9,705.64x = 14,549.82 × 4,508.68
  4. Step 4: Simplify right side
    9,705.64x = 65,600,482.44
  5. Step 5: Solve for x
    x = 65,600,482.44/9,705.64
  6. Step 6: Final answer
    x = 6,759.01

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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.