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Finding the Fourth Proportional to 9,701.60, 14,533.20 and 5,794.40

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Solution

The fourth proportional to 9,701.60, 14,533.20 and 5,794.40 is: 8,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.60 : 14,533.20 = 5,794.40 : x
  2. Step 2: Convert to fraction form
    9,701.60/14,533.20 = 5,794.40/x
  3. Step 3: Cross multiply
    9,701.60x = 14,533.20 × 5,794.40
  4. Step 4: Simplify right side
    9,701.60x = 84,211,174.08
  5. Step 5: Solve for x
    x = 84,211,174.08/9,701.60
  6. Step 6: Final answer
    x = 8,680.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.