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Finding the Fourth Proportional to 9,663.66, 14,488.64 and 4,730.16

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Solution

The fourth proportional to 9,663.66, 14,488.64 and 4,730.16 is: 7,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.66 : 14,488.64 = 4,730.16 : x
  2. Step 2: Convert to fraction form
    9,663.66/14,488.64 = 4,730.16/x
  3. Step 3: Cross multiply
    9,663.66x = 14,488.64 × 4,730.16
  4. Step 4: Simplify right side
    9,663.66x = 68,533,585.38
  5. Step 5: Solve for x
    x = 68,533,585.38/9,663.66
  6. Step 6: Final answer
    x = 7,091.89

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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.