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Finding the Fourth Proportional to 9,813.90, 13,543.16 and 5,507.00

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Solution

The fourth proportional to 9,813.90, 13,543.16 and 5,507.00 is: 7,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.90 : 13,543.16 = 5,507.00 : x
  2. Step 2: Convert to fraction form
    9,813.90/13,543.16 = 5,507.00/x
  3. Step 3: Cross multiply
    9,813.90x = 13,543.16 × 5,507.00
  4. Step 4: Simplify right side
    9,813.90x = 74,582,086.87
  5. Step 5: Solve for x
    x = 74,582,086.87/9,813.90
  6. Step 6: Final answer
    x = 7,599.64

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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.