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Finding the Fourth Proportional to 9,533.19, 13,155.80 and 5,807.19

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Solution

The fourth proportional to 9,533.19, 13,155.80 and 5,807.19 is: 8,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.19 : 13,155.80 = 5,807.19 : x
  2. Step 2: Convert to fraction form
    9,533.19/13,155.80 = 5,807.19/x
  3. Step 3: Cross multiply
    9,533.19x = 13,155.80 × 5,807.19
  4. Step 4: Simplify right side
    9,533.19x = 76,398,230.20
  5. Step 5: Solve for x
    x = 76,398,230.20/9,533.19
  6. Step 6: Final answer
    x = 8,013.92

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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.