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Finding the Fourth Proportional to 9,425.76, 14,143.32 and 6,670.14

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Solution

The fourth proportional to 9,425.76, 14,143.32 and 6,670.14 is: 10,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.76 : 14,143.32 = 6,670.14 : x
  2. Step 2: Convert to fraction form
    9,425.76/14,143.32 = 6,670.14/x
  3. Step 3: Cross multiply
    9,425.76x = 14,143.32 × 6,670.14
  4. Step 4: Simplify right side
    9,425.76x = 94,337,924.46
  5. Step 5: Solve for x
    x = 94,337,924.46/9,425.76
  6. Step 6: Final answer
    x = 10,008.52

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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.