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Finding the Fourth Proportional to 9,507.60, 13,120.20 and 5,315.76

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Solution

The fourth proportional to 9,507.60, 13,120.20 and 5,315.76 is: 7,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.60 : 13,120.20 = 5,315.76 : x
  2. Step 2: Convert to fraction form
    9,507.60/13,120.20 = 5,315.76/x
  3. Step 3: Cross multiply
    9,507.60x = 13,120.20 × 5,315.76
  4. Step 4: Simplify right side
    9,507.60x = 69,743,834.35
  5. Step 5: Solve for x
    x = 69,743,834.35/9,507.60
  6. Step 6: Final answer
    x = 7,335.59

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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.