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Finding the Fourth Proportional to 9,580.40, 13,220.52 and 5,803.52

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Solution

The fourth proportional to 9,580.40, 13,220.52 and 5,803.52 is: 8,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.40 : 13,220.52 = 5,803.52 : x
  2. Step 2: Convert to fraction form
    9,580.40/13,220.52 = 5,803.52/x
  3. Step 3: Cross multiply
    9,580.40x = 13,220.52 × 5,803.52
  4. Step 4: Simplify right side
    9,580.40x = 76,725,552.23
  5. Step 5: Solve for x
    x = 76,725,552.23/9,580.40
  6. Step 6: Final answer
    x = 8,008.60

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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.