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Finding the Fourth Proportional to 9,655.07, 13,323.03 and 5,405.88

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Solution

The fourth proportional to 9,655.07, 13,323.03 and 5,405.88 is: 7,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.07 : 13,323.03 = 5,405.88 : x
  2. Step 2: Convert to fraction form
    9,655.07/13,323.03 = 5,405.88/x
  3. Step 3: Cross multiply
    9,655.07x = 13,323.03 × 5,405.88
  4. Step 4: Simplify right side
    9,655.07x = 72,022,701.42
  5. Step 5: Solve for x
    x = 72,022,701.42/9,655.07
  6. Step 6: Final answer
    x = 7,459.58

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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.