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Finding the Fourth Proportional to 9,683.60, 13,360.08 and 5,434

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Solution

The fourth proportional to 9,683.60, 13,360.08 and 5,434 is: 7,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.60 : 13,360.08 = 5,434 : x
  2. Step 2: Convert to fraction form
    9,683.60/13,360.08 = 5,434/x
  3. Step 3: Cross multiply
    9,683.60x = 13,360.08 × 5,434
  4. Step 4: Simplify right side
    9,683.60x = 72,598,674.72
  5. Step 5: Solve for x
    x = 72,598,674.72/9,683.60
  6. Step 6: Final answer
    x = 7,497.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.