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Finding the Fourth Proportional to 10,004.70, 14,970.60 and 9,129.90

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Solution

The fourth proportional to 10,004.70, 14,970.60 and 9,129.90 is: 13,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.70 : 14,970.60 = 9,129.90 : x
  2. Step 2: Convert to fraction form
    10,004.70/14,970.60 = 9,129.90/x
  3. Step 3: Cross multiply
    10,004.70x = 14,970.60 × 9,129.90
  4. Step 4: Simplify right side
    10,004.70x = 136,680,080.94
  5. Step 5: Solve for x
    x = 136,680,080.94/10,004.70
  6. Step 6: Final answer
    x = 13,661.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.