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Finding the Fourth Proportional to 9,315.02, 12,856.56 and 5,338.80

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Solution

The fourth proportional to 9,315.02, 12,856.56 and 5,338.80 is: 7,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.02 : 12,856.56 = 5,338.80 : x
  2. Step 2: Convert to fraction form
    9,315.02/12,856.56 = 5,338.80/x
  3. Step 3: Cross multiply
    9,315.02x = 12,856.56 × 5,338.80
  4. Step 4: Simplify right side
    9,315.02x = 68,638,582.51
  5. Step 5: Solve for x
    x = 68,638,582.51/9,315.02
  6. Step 6: Final answer
    x = 7,368.59

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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.