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Finding the Fourth Proportional to 9,216.30, 13,813.51 and 5,312.64

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Solution

The fourth proportional to 9,216.30, 13,813.51 and 5,312.64 is: 7,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.30 : 13,813.51 = 5,312.64 : x
  2. Step 2: Convert to fraction form
    9,216.30/13,813.51 = 5,312.64/x
  3. Step 3: Cross multiply
    9,216.30x = 13,813.51 × 5,312.64
  4. Step 4: Simplify right side
    9,216.30x = 73,386,205.77
  5. Step 5: Solve for x
    x = 73,386,205.77/9,216.30
  6. Step 6: Final answer
    x = 7,962.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.