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Finding the Fourth Proportional to 9,527, 14,294.82 and 4,595.72

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Solution

The fourth proportional to 9,527, 14,294.82 and 4,595.72 is: 6,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527 : 14,294.82 = 4,595.72 : x
  2. Step 2: Convert to fraction form
    9,527/14,294.82 = 4,595.72/x
  3. Step 3: Cross multiply
    9,527x = 14,294.82 × 4,595.72
  4. Step 4: Simplify right side
    9,527x = 65,694,990.17
  5. Step 5: Solve for x
    x = 65,694,990.17/9,527
  6. Step 6: Final answer
    x = 6,895.66

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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.