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Finding the Fourth Proportional to 9,658,162.77, 13,314,946.53 and 7,704,672.18

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Solution

The fourth proportional to 9,658,162.77, 13,314,946.53 and 7,704,672.18 is: 10,621,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658,162.77 : 13,314,946.53 = 7,704,672.18 : x
  2. Step 2: Convert to fraction form
    9,658,162.77/13,314,946.53 = 7,704,672.18/x
  3. Step 3: Cross multiply
    9,658,162.77x = 13,314,946.53 × 7,704,672.18
  4. Step 4: Simplify right side
    9,658,162.77x = 102,587,298,107,878.53
  5. Step 5: Solve for x
    x = 102,587,298,107,878.53/9,658,162.77
  6. Step 6: Final answer
    x = 10,621,823.28

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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.