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Finding the Fourth Proportional to 10,073.84, 15,009.50 and 9,507.94

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Solution

The fourth proportional to 10,073.84, 15,009.50 and 9,507.94 is: 14,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.84 : 15,009.50 = 9,507.94 : x
  2. Step 2: Convert to fraction form
    10,073.84/15,009.50 = 9,507.94/x
  3. Step 3: Cross multiply
    10,073.84x = 15,009.50 × 9,507.94
  4. Step 4: Simplify right side
    10,073.84x = 142,709,411.68
  5. Step 5: Solve for x
    x = 142,709,411.68/10,073.84
  6. Step 6: Final answer
    x = 14,166.34

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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.