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Finding the Fourth Proportional to 9,345.50, 14,008.25 and 4,656.26

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Solution

The fourth proportional to 9,345.50, 14,008.25 and 4,656.26 is: 6,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.50 : 14,008.25 = 4,656.26 : x
  2. Step 2: Convert to fraction form
    9,345.50/14,008.25 = 4,656.26/x
  3. Step 3: Cross multiply
    9,345.50x = 14,008.25 × 4,656.26
  4. Step 4: Simplify right side
    9,345.50x = 65,226,038.49
  5. Step 5: Solve for x
    x = 65,226,038.49/9,345.50
  6. Step 6: Final answer
    x = 6,979.41

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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.