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Finding the Fourth Proportional to 9,565, 14,345.88 and 2,545.12

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Solution

The fourth proportional to 9,565, 14,345.88 and 2,545.12 is: 3,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565 : 14,345.88 = 2,545.12 : x
  2. Step 2: Convert to fraction form
    9,565/14,345.88 = 2,545.12/x
  3. Step 3: Cross multiply
    9,565x = 14,345.88 × 2,545.12
  4. Step 4: Simplify right side
    9,565x = 36,511,986.11
  5. Step 5: Solve for x
    x = 36,511,986.11/9,565
  6. Step 6: Final answer
    x = 3,817.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.