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Finding the Fourth Proportional to 9,130.47, 13,697.09 and 2,888.41

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Solution

The fourth proportional to 9,130.47, 13,697.09 and 2,888.41 is: 4,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.47 : 13,697.09 = 2,888.41 : x
  2. Step 2: Convert to fraction form
    9,130.47/13,697.09 = 2,888.41/x
  3. Step 3: Cross multiply
    9,130.47x = 13,697.09 × 2,888.41
  4. Step 4: Simplify right side
    9,130.47x = 39,562,811.73
  5. Step 5: Solve for x
    x = 39,562,811.73/9,130.47
  6. Step 6: Final answer
    x = 4,333.05

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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.