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Finding the Fourth Proportional to 9,697.64, 14,547.54 and 3,459.11

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Solution

The fourth proportional to 9,697.64, 14,547.54 and 3,459.11 is: 5,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.64 : 14,547.54 = 3,459.11 : x
  2. Step 2: Convert to fraction form
    9,697.64/14,547.54 = 3,459.11/x
  3. Step 3: Cross multiply
    9,697.64x = 14,547.54 × 3,459.11
  4. Step 4: Simplify right side
    9,697.64x = 50,321,457.00
  5. Step 5: Solve for x
    x = 50,321,457.00/9,697.64
  6. Step 6: Final answer
    x = 5,189.04

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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.