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Finding the Fourth Proportional to 9,127.86, 12,597.61 and 5,298.68

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Solution

The fourth proportional to 9,127.86, 12,597.61 and 5,298.68 is: 7,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.86 : 12,597.61 = 5,298.68 : x
  2. Step 2: Convert to fraction form
    9,127.86/12,597.61 = 5,298.68/x
  3. Step 3: Cross multiply
    9,127.86x = 12,597.61 × 5,298.68
  4. Step 4: Simplify right side
    9,127.86x = 66,750,677.66
  5. Step 5: Solve for x
    x = 66,750,677.66/9,127.86
  6. Step 6: Final answer
    x = 7,312.85

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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.