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Finding the Fourth Proportional to 9,032.16, 12,447.50 and 6,509.91

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Solution

The fourth proportional to 9,032.16, 12,447.50 and 6,509.91 is: 8,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.16 : 12,447.50 = 6,509.91 : x
  2. Step 2: Convert to fraction form
    9,032.16/12,447.50 = 6,509.91/x
  3. Step 3: Cross multiply
    9,032.16x = 12,447.50 × 6,509.91
  4. Step 4: Simplify right side
    9,032.16x = 81,032,072.18
  5. Step 5: Solve for x
    x = 81,032,072.18/9,032.16
  6. Step 6: Final answer
    x = 8,971.51

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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.