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Finding the Fourth Proportional to 6,905.16, 9,526.08 and 4,666.22

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Solution

The fourth proportional to 6,905.16, 9,526.08 and 4,666.22 is: 6,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.16 : 9,526.08 = 4,666.22 : x
  2. Step 2: Convert to fraction form
    6,905.16/9,526.08 = 4,666.22/x
  3. Step 3: Cross multiply
    6,905.16x = 9,526.08 × 4,666.22
  4. Step 4: Simplify right side
    6,905.16x = 44,450,790.61
  5. Step 5: Solve for x
    x = 44,450,790.61/6,905.16
  6. Step 6: Final answer
    x = 6,437.33

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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.