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Finding the Fourth Proportional to 8,946.24, 12,345.18 and 4,967.28

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Solution

The fourth proportional to 8,946.24, 12,345.18 and 4,967.28 is: 6,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.24 : 12,345.18 = 4,967.28 : x
  2. Step 2: Convert to fraction form
    8,946.24/12,345.18 = 4,967.28/x
  3. Step 3: Cross multiply
    8,946.24x = 12,345.18 × 4,967.28
  4. Step 4: Simplify right side
    8,946.24x = 61,321,965.71
  5. Step 5: Solve for x
    x = 61,321,965.71/8,946.24
  6. Step 6: Final answer
    x = 6,854.50

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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.