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Finding the Fourth Proportional to 9,756.16, 13,470.10 and 6,404.67

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Solution

The fourth proportional to 9,756.16, 13,470.10 and 6,404.67 is: 8,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.16 : 13,470.10 = 6,404.67 : x
  2. Step 2: Convert to fraction form
    9,756.16/13,470.10 = 6,404.67/x
  3. Step 3: Cross multiply
    9,756.16x = 13,470.10 × 6,404.67
  4. Step 4: Simplify right side
    9,756.16x = 86,271,547.02
  5. Step 5: Solve for x
    x = 86,271,547.02/9,756.16
  6. Step 6: Final answer
    x = 8,842.78

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