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Finding the Fourth Proportional to 9,263.58, 12,784.06 and 5,284.05

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Solution

The fourth proportional to 9,263.58, 12,784.06 and 5,284.05 is: 7,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.58 : 12,784.06 = 5,284.05 : x
  2. Step 2: Convert to fraction form
    9,263.58/12,784.06 = 5,284.05/x
  3. Step 3: Cross multiply
    9,263.58x = 12,784.06 × 5,284.05
  4. Step 4: Simplify right side
    9,263.58x = 67,551,612.24
  5. Step 5: Solve for x
    x = 67,551,612.24/9,263.58
  6. Step 6: Final answer
    x = 7,292.17

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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.