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Finding the Fourth Proportional to 8,946.90, 12,347.30 and 4,968

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Solution

The fourth proportional to 8,946.90, 12,347.30 and 4,968 is: 6,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.90 : 12,347.30 = 4,968 : x
  2. Step 2: Convert to fraction form
    8,946.90/12,347.30 = 4,968/x
  3. Step 3: Cross multiply
    8,946.90x = 12,347.30 × 4,968
  4. Step 4: Simplify right side
    8,946.90x = 61,341,398.82
  5. Step 5: Solve for x
    x = 61,341,398.82/8,946.90
  6. Step 6: Final answer
    x = 6,856.16

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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.