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Finding the Fourth Proportional to 9,920.54, 13,690.59 and 5,613.28

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Solution

The fourth proportional to 9,920.54, 13,690.59 and 5,613.28 is: 7,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.54 : 13,690.59 = 5,613.28 : x
  2. Step 2: Convert to fraction form
    9,920.54/13,690.59 = 5,613.28/x
  3. Step 3: Cross multiply
    9,920.54x = 13,690.59 × 5,613.28
  4. Step 4: Simplify right side
    9,920.54x = 76,849,080.81
  5. Step 5: Solve for x
    x = 76,849,080.81/9,920.54
  6. Step 6: Final answer
    x = 7,746.47

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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.