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Finding the Fourth Proportional to 9,714.24, 14,577.40 and 4,448.40

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Solution

The fourth proportional to 9,714.24, 14,577.40 and 4,448.40 is: 6,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.24 : 14,577.40 = 4,448.40 : x
  2. Step 2: Convert to fraction form
    9,714.24/14,577.40 = 4,448.40/x
  3. Step 3: Cross multiply
    9,714.24x = 14,577.40 × 4,448.40
  4. Step 4: Simplify right side
    9,714.24x = 64,846,106.16
  5. Step 5: Solve for x
    x = 64,846,106.16/9,714.24
  6. Step 6: Final answer
    x = 6,675.37

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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.