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Finding the Fourth Proportional to 9,290.59, 12,820.54 and 5,513.91

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Solution

The fourth proportional to 9,290.59, 12,820.54 and 5,513.91 is: 7,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.59 : 12,820.54 = 5,513.91 : x
  2. Step 2: Convert to fraction form
    9,290.59/12,820.54 = 5,513.91/x
  3. Step 3: Cross multiply
    9,290.59x = 12,820.54 × 5,513.91
  4. Step 4: Simplify right side
    9,290.59x = 70,691,303.71
  5. Step 5: Solve for x
    x = 70,691,303.71/9,290.59
  6. Step 6: Final answer
    x = 7,608.91

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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.