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Finding the Fourth Proportional to 9,407.13, 12,981.98 and 5,158.58

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Solution

The fourth proportional to 9,407.13, 12,981.98 and 5,158.58 is: 7,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.13 : 12,981.98 = 5,158.58 : x
  2. Step 2: Convert to fraction form
    9,407.13/12,981.98 = 5,158.58/x
  3. Step 3: Cross multiply
    9,407.13x = 12,981.98 × 5,158.58
  4. Step 4: Simplify right side
    9,407.13x = 66,968,582.39
  5. Step 5: Solve for x
    x = 66,968,582.39/9,407.13
  6. Step 6: Final answer
    x = 7,118.92

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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.