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Finding the Fourth Proportional to 7,248.75, 9,928.32 and 6,823.20

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Solution

The fourth proportional to 7,248.75, 9,928.32 and 6,823.20 is: 9,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.75 : 9,928.32 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    7,248.75/9,928.32 = 6,823.20/x
  3. Step 3: Cross multiply
    7,248.75x = 9,928.32 × 6,823.20
  4. Step 4: Simplify right side
    7,248.75x = 67,742,913.02
  5. Step 5: Solve for x
    x = 67,742,913.02/7,248.75
  6. Step 6: Final answer
    x = 9,345.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.