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Finding the Fourth Proportional to 9,864.94, 13,613.95 and 5,389.11

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Solution

The fourth proportional to 9,864.94, 13,613.95 and 5,389.11 is: 7,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.94 : 13,613.95 = 5,389.11 : x
  2. Step 2: Convert to fraction form
    9,864.94/13,613.95 = 5,389.11/x
  3. Step 3: Cross multiply
    9,864.94x = 13,613.95 × 5,389.11
  4. Step 4: Simplify right side
    9,864.94x = 73,367,074.08
  5. Step 5: Solve for x
    x = 73,367,074.08/9,864.94
  6. Step 6: Final answer
    x = 7,437.15

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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.