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Finding the Fourth Proportional to 7,089.44, 9,784.32 and 4,258.40

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Solution

The fourth proportional to 7,089.44, 9,784.32 and 4,258.40 is: 5,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.44 : 9,784.32 = 4,258.40 : x
  2. Step 2: Convert to fraction form
    7,089.44/9,784.32 = 4,258.40/x
  3. Step 3: Cross multiply
    7,089.44x = 9,784.32 × 4,258.40
  4. Step 4: Simplify right side
    7,089.44x = 41,665,548.29
  5. Step 5: Solve for x
    x = 41,665,548.29/7,089.44
  6. Step 6: Final answer
    x = 5,877.13

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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.