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Finding the Fourth Proportional to 9,746.34, 14,613.03 and 5,365.86

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Solution

The fourth proportional to 9,746.34, 14,613.03 and 5,365.86 is: 8,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.34 : 14,613.03 = 5,365.86 : x
  2. Step 2: Convert to fraction form
    9,746.34/14,613.03 = 5,365.86/x
  3. Step 3: Cross multiply
    9,746.34x = 14,613.03 × 5,365.86
  4. Step 4: Simplify right side
    9,746.34x = 78,411,473.16
  5. Step 5: Solve for x
    x = 78,411,473.16/9,746.34
  6. Step 6: Final answer
    x = 8,045.22

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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.