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Finding the Fourth Proportional to 6,402.63, 8,838.06 and 4,307.97

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Solution

The fourth proportional to 6,402.63, 8,838.06 and 4,307.97 is: 5,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.63 : 8,838.06 = 4,307.97 : x
  2. Step 2: Convert to fraction form
    6,402.63/8,838.06 = 4,307.97/x
  3. Step 3: Cross multiply
    6,402.63x = 8,838.06 × 4,307.97
  4. Step 4: Simplify right side
    6,402.63x = 38,074,031.61
  5. Step 5: Solve for x
    x = 38,074,031.61/6,402.63
  6. Step 6: Final answer
    x = 5,946.63

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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.