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Finding the Fourth Proportional to 9,365.34, 12,918.70 and 5,829.69

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Solution

The fourth proportional to 9,365.34, 12,918.70 and 5,829.69 is: 8,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.34 : 12,918.70 = 5,829.69 : x
  2. Step 2: Convert to fraction form
    9,365.34/12,918.70 = 5,829.69/x
  3. Step 3: Cross multiply
    9,365.34x = 12,918.70 × 5,829.69
  4. Step 4: Simplify right side
    9,365.34x = 75,312,071.94
  5. Step 5: Solve for x
    x = 75,312,071.94/9,365.34
  6. Step 6: Final answer
    x = 8,041.57

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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.