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Finding the Fourth Proportional to 7,026.40, 9,696.90 and 4,666.96

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Solution

The fourth proportional to 7,026.40, 9,696.90 and 4,666.96 is: 6,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.40 : 9,696.90 = 4,666.96 : x
  2. Step 2: Convert to fraction form
    7,026.40/9,696.90 = 4,666.96/x
  3. Step 3: Cross multiply
    7,026.40x = 9,696.90 × 4,666.96
  4. Step 4: Simplify right side
    7,026.40x = 45,255,044.42
  5. Step 5: Solve for x
    x = 45,255,044.42/7,026.40
  6. Step 6: Final answer
    x = 6,440.72

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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.