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Finding the Fourth Proportional to 6,587.89, 9,883.49 and 4,643.89

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Solution

The fourth proportional to 6,587.89, 9,883.49 and 4,643.89 is: 6,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.89 : 9,883.49 = 4,643.89 : x
  2. Step 2: Convert to fraction form
    6,587.89/9,883.49 = 4,643.89/x
  3. Step 3: Cross multiply
    6,587.89x = 9,883.49 × 4,643.89
  4. Step 4: Simplify right side
    6,587.89x = 45,897,792.45
  5. Step 5: Solve for x
    x = 45,897,792.45/6,587.89
  6. Step 6: Final answer
    x = 6,967.00

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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.