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Finding the Fourth Proportional to 9,377.84, 12,943.14 and 6,024.86

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Solution

The fourth proportional to 9,377.84, 12,943.14 and 6,024.86 is: 8,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.84 : 12,943.14 = 6,024.86 : x
  2. Step 2: Convert to fraction form
    9,377.84/12,943.14 = 6,024.86/x
  3. Step 3: Cross multiply
    9,377.84x = 12,943.14 × 6,024.86
  4. Step 4: Simplify right side
    9,377.84x = 77,980,606.46
  5. Step 5: Solve for x
    x = 77,980,606.46/9,377.84
  6. Step 6: Final answer
    x = 8,315.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.