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Finding the Fourth Proportional to 9,697.88, 14,547.66 and 2,677.90

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Solution

The fourth proportional to 9,697.88, 14,547.66 and 2,677.90 is: 4,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.88 : 14,547.66 = 2,677.90 : x
  2. Step 2: Convert to fraction form
    9,697.88/14,547.66 = 2,677.90/x
  3. Step 3: Cross multiply
    9,697.88x = 14,547.66 × 2,677.90
  4. Step 4: Simplify right side
    9,697.88x = 38,957,132.30
  5. Step 5: Solve for x
    x = 38,957,132.30/9,697.88
  6. Step 6: Final answer
    x = 4,017.08

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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.