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Finding the Fourth Proportional to 9,714.24, 14,573.16 and 3,140.28

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Solution

The fourth proportional to 9,714.24, 14,573.16 and 3,140.28 is: 4,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.24 : 14,573.16 = 3,140.28 : x
  2. Step 2: Convert to fraction form
    9,714.24/14,573.16 = 3,140.28/x
  3. Step 3: Cross multiply
    9,714.24x = 14,573.16 × 3,140.28
  4. Step 4: Simplify right side
    9,714.24x = 45,763,802.88
  5. Step 5: Solve for x
    x = 45,763,802.88/9,714.24
  6. Step 6: Final answer
    x = 4,711.00

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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.