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Finding the Fourth Proportional to 9,655.10, 14,458.35 and 6,350.30

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Solution

The fourth proportional to 9,655.10, 14,458.35 and 6,350.30 is: 9,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.10 : 14,458.35 = 6,350.30 : x
  2. Step 2: Convert to fraction form
    9,655.10/14,458.35 = 6,350.30/x
  3. Step 3: Cross multiply
    9,655.10x = 14,458.35 × 6,350.30
  4. Step 4: Simplify right side
    9,655.10x = 91,814,860.01
  5. Step 5: Solve for x
    x = 91,814,860.01/9,655.10
  6. Step 6: Final answer
    x = 9,509.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.