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Finding the Fourth Proportional to 9,712.84, 14,557.10 and 4,159.72

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Solution

The fourth proportional to 9,712.84, 14,557.10 and 4,159.72 is: 6,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.84 : 14,557.10 = 4,159.72 : x
  2. Step 2: Convert to fraction form
    9,712.84/14,557.10 = 4,159.72/x
  3. Step 3: Cross multiply
    9,712.84x = 14,557.10 × 4,159.72
  4. Step 4: Simplify right side
    9,712.84x = 60,553,460.01
  5. Step 5: Solve for x
    x = 60,553,460.01/9,712.84
  6. Step 6: Final answer
    x = 6,234.37

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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.