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Finding the Fourth Proportional to 9,699.44, 14,547.30 and 2,677.72

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Solution

The fourth proportional to 9,699.44, 14,547.30 and 2,677.72 is: 4,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.44 : 14,547.30 = 2,677.72 : x
  2. Step 2: Convert to fraction form
    9,699.44/14,547.30 = 2,677.72/x
  3. Step 3: Cross multiply
    9,699.44x = 14,547.30 × 2,677.72
  4. Step 4: Simplify right side
    9,699.44x = 38,953,596.16
  5. Step 5: Solve for x
    x = 38,953,596.16/9,699.44
  6. Step 6: Final answer
    x = 4,016.07

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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.