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Finding the Fourth Proportional to 6,877,457.07, 9,490,989.20 and 3,780,266.87

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Solution

The fourth proportional to 6,877,457.07, 9,490,989.20 and 3,780,266.87 is: 5,216,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,457.07 : 9,490,989.20 = 3,780,266.87 : x
  2. Step 2: Convert to fraction form
    6,877,457.07/9,490,989.20 = 3,780,266.87/x
  3. Step 3: Cross multiply
    6,877,457.07x = 9,490,989.20 × 3,780,266.87
  4. Step 4: Simplify right side
    6,877,457.07x = 35,878,471,969,931.52
  5. Step 5: Solve for x
    x = 35,878,471,969,931.52/6,877,457.07
  6. Step 6: Final answer
    x = 5,216,822.38

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Why These Related Problems?

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