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Finding the Fourth Proportional to 9,714.52, 14,570.04 and 2,598.79

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Solution

The fourth proportional to 9,714.52, 14,570.04 and 2,598.79 is: 3,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 14,570.04 = 2,598.79 : x
  2. Step 2: Convert to fraction form
    9,714.52/14,570.04 = 2,598.79/x
  3. Step 3: Cross multiply
    9,714.52x = 14,570.04 × 2,598.79
  4. Step 4: Simplify right side
    9,714.52x = 37,864,474.25
  5. Step 5: Solve for x
    x = 37,864,474.25/9,714.52
  6. Step 6: Final answer
    x = 3,897.72

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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.