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Finding the Fourth Proportional to 9,559.60, 13,214.28 and 7,978.48

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Solution

The fourth proportional to 9,559.60, 13,214.28 and 7,978.48 is: 11,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.60 : 13,214.28 = 7,978.48 : x
  2. Step 2: Convert to fraction form
    9,559.60/13,214.28 = 7,978.48/x
  3. Step 3: Cross multiply
    9,559.60x = 13,214.28 × 7,978.48
  4. Step 4: Simplify right side
    9,559.60x = 105,429,868.69
  5. Step 5: Solve for x
    x = 105,429,868.69/9,559.60
  6. Step 6: Final answer
    x = 11,028.69

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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.