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Finding the Fourth Proportional to 9,512.66, 13,130.97 and 7,150.70

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Solution

The fourth proportional to 9,512.66, 13,130.97 and 7,150.70 is: 9,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.66 : 13,130.97 = 7,150.70 : x
  2. Step 2: Convert to fraction form
    9,512.66/13,130.97 = 7,150.70/x
  3. Step 3: Cross multiply
    9,512.66x = 13,130.97 × 7,150.70
  4. Step 4: Simplify right side
    9,512.66x = 93,895,627.18
  5. Step 5: Solve for x
    x = 93,895,627.18/9,512.66
  6. Step 6: Final answer
    x = 9,870.60

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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.