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Finding the Fourth Proportional to 9,712, 14,568.04 and 3,556

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Solution

The fourth proportional to 9,712, 14,568.04 and 3,556 is: 5,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,568.04 = 3,556 : x
  2. Step 2: Convert to fraction form
    9,712/14,568.04 = 3,556/x
  3. Step 3: Cross multiply
    9,712x = 14,568.04 × 3,556
  4. Step 4: Simplify right side
    9,712x = 51,803,950.24
  5. Step 5: Solve for x
    x = 51,803,950.24/9,712
  6. Step 6: Final answer
    x = 5,334.01

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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.