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Finding the Fourth Proportional to 9,860.34, 13,607.59 and 5,384.33

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Solution

The fourth proportional to 9,860.34, 13,607.59 and 5,384.33 is: 7,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.34 : 13,607.59 = 5,384.33 : x
  2. Step 2: Convert to fraction form
    9,860.34/13,607.59 = 5,384.33/x
  3. Step 3: Cross multiply
    9,860.34x = 13,607.59 × 5,384.33
  4. Step 4: Simplify right side
    9,860.34x = 73,267,673.57
  5. Step 5: Solve for x
    x = 73,267,673.57/9,860.34
  6. Step 6: Final answer
    x = 7,430.54

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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.