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Finding the Fourth Proportional to 6,948,347.84, 9,588,720.93 and 3,851,071.16

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Solution

The fourth proportional to 6,948,347.84, 9,588,720.93 and 3,851,071.16 is: 5,314,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,347.84 : 9,588,720.93 = 3,851,071.16 : x
  2. Step 2: Convert to fraction form
    6,948,347.84/9,588,720.93 = 3,851,071.16/x
  3. Step 3: Cross multiply
    6,948,347.84x = 9,588,720.93 × 3,851,071.16
  4. Step 4: Simplify right side
    6,948,347.84x = 36,926,846,634,811.38
  5. Step 5: Solve for x
    x = 36,926,846,634,811.38/6,948,347.84
  6. Step 6: Final answer
    x = 5,314,478.71

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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.