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Finding the Fourth Proportional to 9,317.84, 12,858.72 and 5,126

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Solution

The fourth proportional to 9,317.84, 12,858.72 and 5,126 is: 7,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.84 : 12,858.72 = 5,126 : x
  2. Step 2: Convert to fraction form
    9,317.84/12,858.72 = 5,126/x
  3. Step 3: Cross multiply
    9,317.84x = 12,858.72 × 5,126
  4. Step 4: Simplify right side
    9,317.84x = 65,913,798.72
  5. Step 5: Solve for x
    x = 65,913,798.72/9,317.84
  6. Step 6: Final answer
    x = 7,073.94

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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.