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Finding the Fourth Proportional to 9,523.61, 14,294.62 and 4,596.72

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Solution

The fourth proportional to 9,523.61, 14,294.62 and 4,596.72 is: 6,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.61 : 14,294.62 = 4,596.72 : x
  2. Step 2: Convert to fraction form
    9,523.61/14,294.62 = 4,596.72/x
  3. Step 3: Cross multiply
    9,523.61x = 14,294.62 × 4,596.72
  4. Step 4: Simplify right side
    9,523.61x = 65,708,294.17
  5. Step 5: Solve for x
    x = 65,708,294.17/9,523.61
  6. Step 6: Final answer
    x = 6,899.52

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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.