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Finding the Fourth Proportional to 9,714.47, 14,573.12 and 3,140.91

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Solution

The fourth proportional to 9,714.47, 14,573.12 and 3,140.91 is: 4,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.47 : 14,573.12 = 3,140.91 : x
  2. Step 2: Convert to fraction form
    9,714.47/14,573.12 = 3,140.91/x
  3. Step 3: Cross multiply
    9,714.47x = 14,573.12 × 3,140.91
  4. Step 4: Simplify right side
    9,714.47x = 45,772,842.63
  5. Step 5: Solve for x
    x = 45,772,842.63/9,714.47
  6. Step 6: Final answer
    x = 4,711.82

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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.