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Finding the Fourth Proportional to 9,117.01, 12,569.29 and 6,838.67

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Solution

The fourth proportional to 9,117.01, 12,569.29 and 6,838.67 is: 9,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.01 : 12,569.29 = 6,838.67 : x
  2. Step 2: Convert to fraction form
    9,117.01/12,569.29 = 6,838.67/x
  3. Step 3: Cross multiply
    9,117.01x = 12,569.29 × 6,838.67
  4. Step 4: Simplify right side
    9,117.01x = 85,957,146.50
  5. Step 5: Solve for x
    x = 85,957,146.50/9,117.01
  6. Step 6: Final answer
    x = 9,428.22

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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.