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Finding the Fourth Proportional to 9,804.78, 13,530.66 and 5,328.57

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Solution

The fourth proportional to 9,804.78, 13,530.66 and 5,328.57 is: 7,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.78 : 13,530.66 = 5,328.57 : x
  2. Step 2: Convert to fraction form
    9,804.78/13,530.66 = 5,328.57/x
  3. Step 3: Cross multiply
    9,804.78x = 13,530.66 × 5,328.57
  4. Step 4: Simplify right side
    9,804.78x = 72,099,068.96
  5. Step 5: Solve for x
    x = 72,099,068.96/9,804.78
  6. Step 6: Final answer
    x = 7,353.46

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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.