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Finding the Fourth Proportional to 9,230.73, 12,739.20 and 7,547.45

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Solution

The fourth proportional to 9,230.73, 12,739.20 and 7,547.45 is: 10,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.73 : 12,739.20 = 7,547.45 : x
  2. Step 2: Convert to fraction form
    9,230.73/12,739.20 = 7,547.45/x
  3. Step 3: Cross multiply
    9,230.73x = 12,739.20 × 7,547.45
  4. Step 4: Simplify right side
    9,230.73x = 96,148,411.34
  5. Step 5: Solve for x
    x = 96,148,411.34/9,230.73
  6. Step 6: Final answer
    x = 10,416.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.