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Finding the Fourth Proportional to 9,570.13, 14,357.79 and 3,330.50

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Solution

The fourth proportional to 9,570.13, 14,357.79 and 3,330.50 is: 4,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.13 : 14,357.79 = 3,330.50 : x
  2. Step 2: Convert to fraction form
    9,570.13/14,357.79 = 3,330.50/x
  3. Step 3: Cross multiply
    9,570.13x = 14,357.79 × 3,330.50
  4. Step 4: Simplify right side
    9,570.13x = 47,818,547.81
  5. Step 5: Solve for x
    x = 47,818,547.81/9,570.13
  6. Step 6: Final answer
    x = 4,996.65

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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.