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Finding the Fourth Proportional to 9,670.64, 14,504.45 and 3,746.66

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Solution

The fourth proportional to 9,670.64, 14,504.45 and 3,746.66 is: 5,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.64 : 14,504.45 = 3,746.66 : x
  2. Step 2: Convert to fraction form
    9,670.64/14,504.45 = 3,746.66/x
  3. Step 3: Cross multiply
    9,670.64x = 14,504.45 × 3,746.66
  4. Step 4: Simplify right side
    9,670.64x = 54,343,151.38
  5. Step 5: Solve for x
    x = 54,343,151.38/9,670.64
  6. Step 6: Final answer
    x = 5,619.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.