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Finding the Fourth Proportional to 10,076.09, 15,012.86 and 9,510.19

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Solution

The fourth proportional to 10,076.09, 15,012.86 and 9,510.19 is: 14,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.09 : 15,012.86 = 9,510.19 : x
  2. Step 2: Convert to fraction form
    10,076.09/15,012.86 = 9,510.19/x
  3. Step 3: Cross multiply
    10,076.09x = 15,012.86 × 9,510.19
  4. Step 4: Simplify right side
    10,076.09x = 142,775,065.96
  5. Step 5: Solve for x
    x = 142,775,065.96/10,076.09
  6. Step 6: Final answer
    x = 14,169.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.