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Finding the Fourth Proportional to 9,277.17, 12,802.64 and 5,298.29

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Solution

The fourth proportional to 9,277.17, 12,802.64 and 5,298.29 is: 7,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.17 : 12,802.64 = 5,298.29 : x
  2. Step 2: Convert to fraction form
    9,277.17/12,802.64 = 5,298.29/x
  3. Step 3: Cross multiply
    9,277.17x = 12,802.64 × 5,298.29
  4. Step 4: Simplify right side
    9,277.17x = 67,832,099.49
  5. Step 5: Solve for x
    x = 67,832,099.49/9,277.17
  6. Step 6: Final answer
    x = 7,311.72

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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.