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Finding the Fourth Proportional to 9,807.10, 13,533.89 and 5,330.86

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Solution

The fourth proportional to 9,807.10, 13,533.89 and 5,330.86 is: 7,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.10 : 13,533.89 = 5,330.86 : x
  2. Step 2: Convert to fraction form
    9,807.10/13,533.89 = 5,330.86/x
  3. Step 3: Cross multiply
    9,807.10x = 13,533.89 × 5,330.86
  4. Step 4: Simplify right side
    9,807.10x = 72,147,246.19
  5. Step 5: Solve for x
    x = 72,147,246.19/9,807.10
  6. Step 6: Final answer
    x = 7,356.63

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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.