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Finding the Fourth Proportional to 9,827.64, 13,553.13 and 7,316.10

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Solution

The fourth proportional to 9,827.64, 13,553.13 and 7,316.10 is: 10,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.64 : 13,553.13 = 7,316.10 : x
  2. Step 2: Convert to fraction form
    9,827.64/13,553.13 = 7,316.10/x
  3. Step 3: Cross multiply
    9,827.64x = 13,553.13 × 7,316.10
  4. Step 4: Simplify right side
    9,827.64x = 99,156,054.39
  5. Step 5: Solve for x
    x = 99,156,054.39/9,827.64
  6. Step 6: Final answer
    x = 10,089.51

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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.