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Finding the Fourth Proportional to 9,758,422.34, 13,466,703.06 and 5,407,581.30

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Solution

The fourth proportional to 9,758,422.34, 13,466,703.06 and 5,407,581.30 is: 7,462,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758,422.34 : 13,466,703.06 = 5,407,581.30 : x
  2. Step 2: Convert to fraction form
    9,758,422.34/13,466,703.06 = 5,407,581.30/x
  3. Step 3: Cross multiply
    9,758,422.34x = 13,466,703.06 × 5,407,581.30
  4. Step 4: Simplify right side
    9,758,422.34x = 72,822,291,639,908.78
  5. Step 5: Solve for x
    x = 72,822,291,639,908.78/9,758,422.34
  6. Step 6: Final answer
    x = 7,462,506.65

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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.