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Finding the Fourth Proportional to 9,695.48, 14,543.52 and 2,675.64

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Solution

The fourth proportional to 9,695.48, 14,543.52 and 2,675.64 is: 4,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.48 : 14,543.52 = 2,675.64 : x
  2. Step 2: Convert to fraction form
    9,695.48/14,543.52 = 2,675.64/x
  3. Step 3: Cross multiply
    9,695.48x = 14,543.52 × 2,675.64
  4. Step 4: Simplify right side
    9,695.48x = 38,913,223.85
  5. Step 5: Solve for x
    x = 38,913,223.85/9,695.48
  6. Step 6: Final answer
    x = 4,013.54

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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.