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Finding the Fourth Proportional to 9,704.16, 13,395.60 and 6,569.64

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Solution

The fourth proportional to 9,704.16, 13,395.60 and 6,569.64 is: 9,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.16 : 13,395.60 = 6,569.64 : x
  2. Step 2: Convert to fraction form
    9,704.16/13,395.60 = 6,569.64/x
  3. Step 3: Cross multiply
    9,704.16x = 13,395.60 × 6,569.64
  4. Step 4: Simplify right side
    9,704.16x = 88,004,269.58
  5. Step 5: Solve for x
    x = 88,004,269.58/9,704.16
  6. Step 6: Final answer
    x = 9,068.72

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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.