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Finding the Fourth Proportional to 9,742,740.94, 14,617,356.98 and 3,266,457.12

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Solution

The fourth proportional to 9,742,740.94, 14,617,356.98 and 3,266,457.12 is: 4,900,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742,740.94 : 14,617,356.98 = 3,266,457.12 : x
  2. Step 2: Convert to fraction form
    9,742,740.94/14,617,356.98 = 3,266,457.12/x
  3. Step 3: Cross multiply
    9,742,740.94x = 14,617,356.98 × 3,266,457.12
  4. Step 4: Simplify right side
    9,742,740.94x = 47,746,969,782,902.70
  5. Step 5: Solve for x
    x = 47,746,969,782,902.70/9,742,740.94
  6. Step 6: Final answer
    x = 4,900,773.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.