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Finding the Fourth Proportional to 9,277.96, 12,803.32 and 5,298.99

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Solution

The fourth proportional to 9,277.96, 12,803.32 and 5,298.99 is: 7,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.96 : 12,803.32 = 5,298.99 : x
  2. Step 2: Convert to fraction form
    9,277.96/12,803.32 = 5,298.99/x
  3. Step 3: Cross multiply
    9,277.96x = 12,803.32 × 5,298.99
  4. Step 4: Simplify right side
    9,277.96x = 67,844,664.65
  5. Step 5: Solve for x
    x = 67,844,664.65/9,277.96
  6. Step 6: Final answer
    x = 7,312.45

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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.