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Finding the Fourth Proportional to 9,864.53, 13,609.51 and 5,830.51

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Solution

The fourth proportional to 9,864.53, 13,609.51 and 5,830.51 is: 8,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.53 : 13,609.51 = 5,830.51 : x
  2. Step 2: Convert to fraction form
    9,864.53/13,609.51 = 5,830.51/x
  3. Step 3: Cross multiply
    9,864.53x = 13,609.51 × 5,830.51
  4. Step 4: Simplify right side
    9,864.53x = 79,350,335.55
  5. Step 5: Solve for x
    x = 79,350,335.55/9,864.53
  6. Step 6: Final answer
    x = 8,044.01

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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.