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Finding the Fourth Proportional to 9,277.41, 12,803.16 and 5,298.45

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Solution

The fourth proportional to 9,277.41, 12,803.16 and 5,298.45 is: 7,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.41 : 12,803.16 = 5,298.45 : x
  2. Step 2: Convert to fraction form
    9,277.41/12,803.16 = 5,298.45/x
  3. Step 3: Cross multiply
    9,277.41x = 12,803.16 × 5,298.45
  4. Step 4: Simplify right side
    9,277.41x = 67,836,876.61
  5. Step 5: Solve for x
    x = 67,836,876.61/9,277.41
  6. Step 6: Final answer
    x = 7,312.05

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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.