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Finding the Fourth Proportional to 9,516.93, 14,210.61 and 8,397

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Solution

The fourth proportional to 9,516.93, 14,210.61 and 8,397 is: 12,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.93 : 14,210.61 = 8,397 : x
  2. Step 2: Convert to fraction form
    9,516.93/14,210.61 = 8,397/x
  3. Step 3: Cross multiply
    9,516.93x = 14,210.61 × 8,397
  4. Step 4: Simplify right side
    9,516.93x = 119,326,492.17
  5. Step 5: Solve for x
    x = 119,326,492.17/9,516.93
  6. Step 6: Final answer
    x = 12,538.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.