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Finding the Fourth Proportional to 9,301.60, 12,830.70 and 5,762.26

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Solution

The fourth proportional to 9,301.60, 12,830.70 and 5,762.26 is: 7,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.60 : 12,830.70 = 5,762.26 : x
  2. Step 2: Convert to fraction form
    9,301.60/12,830.70 = 5,762.26/x
  3. Step 3: Cross multiply
    9,301.60x = 12,830.70 × 5,762.26
  4. Step 4: Simplify right side
    9,301.60x = 73,933,829.38
  5. Step 5: Solve for x
    x = 73,933,829.38/9,301.60
  6. Step 6: Final answer
    x = 7,948.51

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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.