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Finding the Fourth Proportional to 9,507.88, 13,120.50 and 5,258.66

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Solution

The fourth proportional to 9,507.88, 13,120.50 and 5,258.66 is: 7,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.88 : 13,120.50 = 5,258.66 : x
  2. Step 2: Convert to fraction form
    9,507.88/13,120.50 = 5,258.66/x
  3. Step 3: Cross multiply
    9,507.88x = 13,120.50 × 5,258.66
  4. Step 4: Simplify right side
    9,507.88x = 68,996,248.53
  5. Step 5: Solve for x
    x = 68,996,248.53/9,507.88
  6. Step 6: Final answer
    x = 7,256.74

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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.