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Finding the Fourth Proportional to 9,827.64, 13,562.16 and 5,351.40

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Solution

The fourth proportional to 9,827.64, 13,562.16 and 5,351.40 is: 7,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.64 : 13,562.16 = 5,351.40 : x
  2. Step 2: Convert to fraction form
    9,827.64/13,562.16 = 5,351.40/x
  3. Step 3: Cross multiply
    9,827.64x = 13,562.16 × 5,351.40
  4. Step 4: Simplify right side
    9,827.64x = 72,576,543.02
  5. Step 5: Solve for x
    x = 72,576,543.02/9,827.64
  6. Step 6: Final answer
    x = 7,384.94

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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.