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Finding the Fourth Proportional to 8,946, 12,345.48 and 4,967.76

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Solution

The fourth proportional to 8,946, 12,345.48 and 4,967.76 is: 6,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 12,345.48 = 4,967.76 : x
  2. Step 2: Convert to fraction form
    8,946/12,345.48 = 4,967.76/x
  3. Step 3: Cross multiply
    8,946x = 12,345.48 × 4,967.76
  4. Step 4: Simplify right side
    8,946x = 61,329,381.72
  5. Step 5: Solve for x
    x = 61,329,381.72/8,946
  6. Step 6: Final answer
    x = 6,855.51

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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.