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Finding the Fourth Proportional to 9,262.79, 12,784.26 and 5,488.08

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Solution

The fourth proportional to 9,262.79, 12,784.26 and 5,488.08 is: 7,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.79 : 12,784.26 = 5,488.08 : x
  2. Step 2: Convert to fraction form
    9,262.79/12,784.26 = 5,488.08/x
  3. Step 3: Cross multiply
    9,262.79x = 12,784.26 × 5,488.08
  4. Step 4: Simplify right side
    9,262.79x = 70,161,050.22
  5. Step 5: Solve for x
    x = 70,161,050.22/9,262.79
  6. Step 6: Final answer
    x = 7,574.51

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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.