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Finding the Fourth Proportional to 9,705.40, 14,559.18 and 3,547.96

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Solution

The fourth proportional to 9,705.40, 14,559.18 and 3,547.96 is: 5,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.40 : 14,559.18 = 3,547.96 : x
  2. Step 2: Convert to fraction form
    9,705.40/14,559.18 = 3,547.96/x
  3. Step 3: Cross multiply
    9,705.40x = 14,559.18 × 3,547.96
  4. Step 4: Simplify right side
    9,705.40x = 51,655,388.27
  5. Step 5: Solve for x
    x = 51,655,388.27/9,705.40
  6. Step 6: Final answer
    x = 5,322.33

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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.