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Finding the Fourth Proportional to 9,655.03, 13,320.84 and 5,405.46

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Solution

The fourth proportional to 9,655.03, 13,320.84 and 5,405.46 is: 7,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.03 : 13,320.84 = 5,405.46 : x
  2. Step 2: Convert to fraction form
    9,655.03/13,320.84 = 5,405.46/x
  3. Step 3: Cross multiply
    9,655.03x = 13,320.84 × 5,405.46
  4. Step 4: Simplify right side
    9,655.03x = 72,005,301.09
  5. Step 5: Solve for x
    x = 72,005,301.09/9,655.03
  6. Step 6: Final answer
    x = 7,457.80

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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.