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Finding the Fourth Proportional to 9,864.05, 13,609.23 and 7,031.93

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Solution

The fourth proportional to 9,864.05, 13,609.23 and 7,031.93 is: 9,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.05 : 13,609.23 = 7,031.93 : x
  2. Step 2: Convert to fraction form
    9,864.05/13,609.23 = 7,031.93/x
  3. Step 3: Cross multiply
    9,864.05x = 13,609.23 × 7,031.93
  4. Step 4: Simplify right side
    9,864.05x = 95,699,152.71
  5. Step 5: Solve for x
    x = 95,699,152.71/9,864.05
  6. Step 6: Final answer
    x = 9,701.81

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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.