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Finding the Fourth Proportional to 9,514.71, 13,130.19 and 5,322.96

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Solution

The fourth proportional to 9,514.71, 13,130.19 and 5,322.96 is: 7,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.71 : 13,130.19 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    9,514.71/13,130.19 = 5,322.96/x
  3. Step 3: Cross multiply
    9,514.71x = 13,130.19 × 5,322.96
  4. Step 4: Simplify right side
    9,514.71x = 69,891,476.16
  5. Step 5: Solve for x
    x = 69,891,476.16/9,514.71
  6. Step 6: Final answer
    x = 7,345.62

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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.