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Finding the Fourth Proportional to 9,130.34, 13,695.48 and 2,204.84

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Solution

The fourth proportional to 9,130.34, 13,695.48 and 2,204.84 is: 3,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.34 : 13,695.48 = 2,204.84 : x
  2. Step 2: Convert to fraction form
    9,130.34/13,695.48 = 2,204.84/x
  3. Step 3: Cross multiply
    9,130.34x = 13,695.48 × 2,204.84
  4. Step 4: Simplify right side
    9,130.34x = 30,196,342.12
  5. Step 5: Solve for x
    x = 30,196,342.12/9,130.34
  6. Step 6: Final answer
    x = 3,307.25

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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.