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Finding the Fourth Proportional to 7,062, 9,745.80 and 4,582.32

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Solution

The fourth proportional to 7,062, 9,745.80 and 4,582.32 is: 6,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062 : 9,745.80 = 4,582.32 : x
  2. Step 2: Convert to fraction form
    7,062/9,745.80 = 4,582.32/x
  3. Step 3: Cross multiply
    7,062x = 9,745.80 × 4,582.32
  4. Step 4: Simplify right side
    7,062x = 44,658,374.26
  5. Step 5: Solve for x
    x = 44,658,374.26/7,062
  6. Step 6: Final answer
    x = 6,323.76

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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.