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Finding the Fourth Proportional to 6,592.48, 9,877.80 and 4,635.12

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Solution

The fourth proportional to 6,592.48, 9,877.80 and 4,635.12 is: 6,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.48 : 9,877.80 = 4,635.12 : x
  2. Step 2: Convert to fraction form
    6,592.48/9,877.80 = 4,635.12/x
  3. Step 3: Cross multiply
    6,592.48x = 9,877.80 × 4,635.12
  4. Step 4: Simplify right side
    6,592.48x = 45,784,788.34
  5. Step 5: Solve for x
    x = 45,784,788.34/6,592.48
  6. Step 6: Final answer
    x = 6,945.00

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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.