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Finding the Fourth Proportional to 9,710,658, 13,400,708.04 and 5,418,306

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Solution

The fourth proportional to 9,710,658, 13,400,708.04 and 5,418,306 is: 7,477,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710,658 : 13,400,708.04 = 5,418,306 : x
  2. Step 2: Convert to fraction form
    9,710,658/13,400,708.04 = 5,418,306/x
  3. Step 3: Cross multiply
    9,710,658x = 13,400,708.04 × 5,418,306
  4. Step 4: Simplify right side
    9,710,658x = 72,609,136,777,380.23
  5. Step 5: Solve for x
    x = 72,609,136,777,380.23/9,710,658
  6. Step 6: Final answer
    x = 7,477,262.28

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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.