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Finding the Fourth Proportional to 10,364.80, 15,547.20 and 9,749.20

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Solution

The fourth proportional to 10,364.80, 15,547.20 and 9,749.20 is: 14,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.80 : 15,547.20 = 9,749.20 : x
  2. Step 2: Convert to fraction form
    10,364.80/15,547.20 = 9,749.20/x
  3. Step 3: Cross multiply
    10,364.80x = 15,547.20 × 9,749.20
  4. Step 4: Simplify right side
    10,364.80x = 151,572,762.24
  5. Step 5: Solve for x
    x = 151,572,762.24/10,364.80
  6. Step 6: Final answer
    x = 14,623.80

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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.