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Finding the Fourth Proportional to 9,114.30, 13,671.46 and 7,037.34

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Solution

The fourth proportional to 9,114.30, 13,671.46 and 7,037.34 is: 10,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.30 : 13,671.46 = 7,037.34 : x
  2. Step 2: Convert to fraction form
    9,114.30/13,671.46 = 7,037.34/x
  3. Step 3: Cross multiply
    9,114.30x = 13,671.46 × 7,037.34
  4. Step 4: Simplify right side
    9,114.30x = 96,210,712.32
  5. Step 5: Solve for x
    x = 96,210,712.32/9,114.30
  6. Step 6: Final answer
    x = 10,556.02

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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.