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Finding the Fourth Proportional to 9,887.08, 13,643.58 and 5,410

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Solution

The fourth proportional to 9,887.08, 13,643.58 and 5,410 is: 7,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.08 : 13,643.58 = 5,410 : x
  2. Step 2: Convert to fraction form
    9,887.08/13,643.58 = 5,410/x
  3. Step 3: Cross multiply
    9,887.08x = 13,643.58 × 5,410
  4. Step 4: Simplify right side
    9,887.08x = 73,811,767.80
  5. Step 5: Solve for x
    x = 73,811,767.80/9,887.08
  6. Step 6: Final answer
    x = 7,465.48

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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.