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Finding the Fourth Proportional to 7,128.18, 9,838.47 and 4,742.31

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Solution

The fourth proportional to 7,128.18, 9,838.47 and 4,742.31 is: 6,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.18 : 9,838.47 = 4,742.31 : x
  2. Step 2: Convert to fraction form
    7,128.18/9,838.47 = 4,742.31/x
  3. Step 3: Cross multiply
    7,128.18x = 9,838.47 × 4,742.31
  4. Step 4: Simplify right side
    7,128.18x = 46,657,074.67
  5. Step 5: Solve for x
    x = 46,657,074.67/7,128.18
  6. Step 6: Final answer
    x = 6,545.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.