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Finding the Fourth Proportional to 9,285.17, 12,812.18 and 5,305.50

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Solution

The fourth proportional to 9,285.17, 12,812.18 and 5,305.50 is: 7,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.17 : 12,812.18 = 5,305.50 : x
  2. Step 2: Convert to fraction form
    9,285.17/12,812.18 = 5,305.50/x
  3. Step 3: Cross multiply
    9,285.17x = 12,812.18 × 5,305.50
  4. Step 4: Simplify right side
    9,285.17x = 67,974,994.46
  5. Step 5: Solve for x
    x = 67,974,994.46/9,285.17
  6. Step 6: Final answer
    x = 7,320.82

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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.