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Finding the Fourth Proportional to 9,812.64, 13,541.18 and 5,336.58

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Solution

The fourth proportional to 9,812.64, 13,541.18 and 5,336.58 is: 7,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.64 : 13,541.18 = 5,336.58 : x
  2. Step 2: Convert to fraction form
    9,812.64/13,541.18 = 5,336.58/x
  3. Step 3: Cross multiply
    9,812.64x = 13,541.18 × 5,336.58
  4. Step 4: Simplify right side
    9,812.64x = 72,263,614.46
  5. Step 5: Solve for x
    x = 72,263,614.46/9,812.64
  6. Step 6: Final answer
    x = 7,364.34

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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.