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Finding the Fourth Proportional to 9,391.47, 14,068.36 and 4,465.86

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Solution

The fourth proportional to 9,391.47, 14,068.36 and 4,465.86 is: 6,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.47 : 14,068.36 = 4,465.86 : x
  2. Step 2: Convert to fraction form
    9,391.47/14,068.36 = 4,465.86/x
  3. Step 3: Cross multiply
    9,391.47x = 14,068.36 × 4,465.86
  4. Step 4: Simplify right side
    9,391.47x = 62,827,326.19
  5. Step 5: Solve for x
    x = 62,827,326.19/9,391.47
  6. Step 6: Final answer
    x = 6,689.83

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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.