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Finding the Fourth Proportional to 9,109.30, 12,570.89 and 5,130.49

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Solution

The fourth proportional to 9,109.30, 12,570.89 and 5,130.49 is: 7,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.30 : 12,570.89 = 5,130.49 : x
  2. Step 2: Convert to fraction form
    9,109.30/12,570.89 = 5,130.49/x
  3. Step 3: Cross multiply
    9,109.30x = 12,570.89 × 5,130.49
  4. Step 4: Simplify right side
    9,109.30x = 64,494,825.44
  5. Step 5: Solve for x
    x = 64,494,825.44/9,109.30
  6. Step 6: Final answer
    x = 7,080.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.